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		<loc>https://competishun.org/let-alpha-and-beta-respectively-be-the-maximum-and-the-minimum-values-of-the-function-ftheta4leftsin-4leftfrac7-pi2-thetarightsin-411-pithetaright-2leftsin-6leftfrac3-pi2-thetarightsin-69-pi-thetarigh/</loc>
		<lastmod>2026-03-28T05:31:53+00:00</lastmod>
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		<loc>https://competishun.org/let-the-area-of-the-region-bounded-by-the-curve-ymax-sin-x-cos-x-lines-x0-xfrac3-pi2-and-the-x-axis-be-a-then-mathrmamathrma2-is-equal-to-____/</loc>
		<lastmod>2026-03-28T05:29:41+00:00</lastmod>
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		<loc>https://competishun.org/a-building-construction-work-can-be-completed-by-two-masons-a-and-b-together-in-22-5-days-mason-a-alone-can-complete-the-construction-work-in-24-days-less-than-mason-b-alone-then-mason-a-alone-will-co/</loc>
		<lastmod>2026-03-28T05:25:55+00:00</lastmod>
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		<loc>https://competishun.org/let-overrightarrowmathrmab2-hati4-hatj-5-hatk-and-overrightarrowmathrmadhati2-hatjlambda-hatk-lambda-in-mathbbr-let-the-projection-of-the-vector-vecvhatihatjhatk-on-the-diagonal-overrightarrowmathrmac/</loc>
		<lastmod>2026-03-28T05:18:46+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-the-relation-r-on-the-set-m123-ldots-16-be-given-by-mathrmrx-y-4-y5-x-3-x-y-in-mathrmm-mid-then-the-minimum-number-of-elements-required-to-be-added-in-mathrmr_text-not-in-order-to-make-the-relatio/</loc>
		<lastmod>2026-03-28T05:15:28+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-the-line-x-1-divide-the-area-of-the-region-leftx-y-1x2-leq-y-leq-3-xright-in-the-ratio-m-n-operatornamegcdm-n1-then-mn-is-equal-to/</loc>
		<lastmod>2026-03-28T05:04:15+00:00</lastmod>
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	<url>
		<loc>https://competishun.org/probability_-jee-main_2026_220126_s1/</loc>
		<lastmod>2026-03-28T04:47:22+00:00</lastmod>
	</url>
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		<loc>https://competishun.org/let-the-solution-curve-of-the-differential-equation-x-d-y-y-d-xsqrtx2y2-d-x-x0-y10-be-yyx-then-y3-is-equal-to/</loc>
		<lastmod>2026-03-28T04:36:38+00:00</lastmod>
	</url>
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		<loc>https://competishun.org/if-the-sum-of-the-first-four-terms-of-an-a-p-is-6-and-the-sum-of-its-first-six-terms-is-4-then-the-sum-of-its-first-twelve-terms-is/</loc>
		<lastmod>2026-03-28T04:34:13+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-alphafrac-1i-sqrt32-and-betafrac-1-i-sqrt32-isqrt-1-if7-7-alpha9-beta2097-alpha-7-beta20-79-alpha7-beta20147-alpha7-beta20m10/</loc>
		<lastmod>2026-03-28T04:33:18+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/the-coefficient-of-x48-in-1x21x231x3ldots1001x100-is-equal-to/</loc>
		<lastmod>2026-03-28T04:31:11+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/if-the-domain-of-the-function-fxsin-1leftfrac5-x32-xrightfrac1log-_varepsilon10-x-is-infty-alpha-cupbeta-gamma-delta-then-6alphabetagammadelta-is-equal-to/</loc>
		<lastmod>2026-03-28T04:25:29+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/if-the-image-of-the-point-mathrmp12-a-in-the-line-fracx-63fracy-72frac7-mathrmz2-is-mathrmq5-b-mathrmc-then-a2b2c2-is-equal-to/</loc>
		<lastmod>2026-03-28T04:19:27+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/the-number-of-distinct-real-solutions-of-the-equation-xx43x2100-is/</loc>
		<lastmod>2026-03-28T04:16:22+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/in-a-metal-deficient-oxide-sample-mathrmmx_2-mathrmy_4-m-and-y-are-metals-m-is-present-in-both-2-and-3-oxidation-states-and-mathbfy-is-in-3-oxidation-state-if-the-fraction-of-mathbfm2-ions-present-in/</loc>
		<lastmod>2026-03-27T22:04:34+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/when-potassium-iodide-is-added-to-an-aqueous-solution-of-potassium-ferricyanide-a-reversible-reaction-is-observed-in-which-a-complex-p-is-formed-in-a-strong-acidic-medium-the-equilibrium-shifts-comple/</loc>
		<lastmod>2026-03-27T21:53:58+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/two-satellites-p-and-q-are-moving-in-different-circular-orbits-around-the-earth-radius-r-the-heights-of-p-and-q-from-the-earth-surface-are-h_mathrmp-and-h_mathrmq-respectively-where-h_mathrmpr-3_3-the/</loc>
		<lastmod>2026-03-27T21:28:49+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/one-mole-of-an-ideal-gas-expands-adiabatically-from-an-initial-state-t_mathrma-v_0-to-final-state-t_mathrmf-5-v_0-another-mole-of-the-same-gas-expands-isothermally-from-a-different-initial-state-mathr/</loc>
		<lastmod>2026-03-27T21:23:40+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/a-slide-with-a-frictionless-curved-surface-which-becomes-horizontal-at-its-lower-end-is-fixed-on-the-terrace-of-a-building-of-height-3-h-from-the-ground-as-shown-in-the-figure-a-spherical-ball-of-mass/</loc>
		<lastmod>2026-03-27T20:55:31+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-mathrmg_mathrmileftfracpi8-frac3-pi8right-rightarrow-mathbbr-mathrmi12-and-mathrmfleftfracpi8-frac3-pi8right-rightarrow-mathbbr-be-functions-such-that-mathrmg_1mathrmx1-mathrmg_2mathrmx4-mathrmx-2/</loc>
		<lastmod>2026-03-27T16:10:29+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/one-mole-of-an-ideal-gas-at-900-k-undergoes-two-reversible-processes-i-followed-by-ii-as-shown-below-if-the-work-done-by-the-gas-in-the-two-processes-are-same-the-value-of-ln-fracv_3v_2-is-____-a-href/</loc>
		<lastmod>2026-03-27T16:06:24+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/ozonolysis-of-mathrmclo_2-produces-an-oxide-of-chlorine-the-average-oxidation-state-of-chlorine-in-this-oxide-is-____/</loc>
		<lastmod>2026-03-27T16:02:34+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/consider-a-helium-he-atom-that-absorbs-a-photon-of-wavelength-330-nm-the-change-in-the-velocity-in-mathrmcm-mathrms-1-of-he-atom-after-the-photon-absorption-is-____-assume-momentum-is-conserved-when-p/</loc>
		<lastmod>2026-03-27T16:00:42+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/for-any-3-times-3-matrix-m-let-m-denote-the-determinant-of-m-let-eleftbeginarrayccc1-2-3-2-3-4-8-13-18endarrayright-pleftbeginarraylll1-0-0-0-0-1-0-1-0endarrayright-and-fleftbeginarrayccc1-3-2-8-18-13/</loc>
		<lastmod>2026-03-27T15:58:55+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/consider-the-following-redox-reaction-taking-place-in-acidic-medium-mathrmbh_4-a-qmathrmclo_3-a-q-longrightarrow-mathrmh_2-mathrmbo_3-a-qmathrmcl-a-q-if-the-nernst-equation-for-the-above-balanced-reac/</loc>
		<lastmod>2026-03-27T13:13:19+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-vecx-vecy-and-vecz-be-three-vectors-each-of-magnitude-sqrt2-and-the-angle-between-each-pair-of-them-is-fracpi3-if-veca-is-a-nonzero-vector-perpendicular-to-vecx-and-vecy-times-vecz-and-vecb-is-a-n/</loc>
		<lastmod>2026-03-27T12:19:14+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-fa-b-rightarrow1-infty-be-a-continuous-function-and-let-g-r-rightarrow-r-be-defined-as/</loc>
		<lastmod>2026-03-27T11:16:00+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/match-the-temperature-of-a-black-body-given-in-list-i-with-an-appropriate-statement-in-list-ii-and-choose-the-correct-option-br-given-wiens-constant-as-2-9-times-10-3-mathrmm-mathrmk-and-fracmathrmhcm/</loc>
		<lastmod>2026-03-27T11:02:05+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/among-mathrmpbs-mathrmcus-mathrmhgs-mathrmmns-mathrmag_2-mathrms-mathrmnis-mathrmcos-mathrmbi_2-mathrms_3-and-mathrmsns_2-the-total-number-of-black-coloured-sulphides-is/</loc>
		<lastmod>2026-03-27T10:57:32+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-f1-infty-rightarrow-mathbbr-be-a-differentiable-function-such-that-f1frac13-and-3-int_1x-ft-d-tx-fx-fracx33-x-in1-infty-let-e-denote-the-base-of-the-natural-logarithm-then-the-value-of-f-e-is/</loc>
		<lastmod>2026-03-27T10:55:48+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/two-point-like-objects-of-masses-20-gm-and-30-gm-are-fixed-at-the-two-ends-of-a-rigid-massless-rod-of-length-10-cm-this-system-is-suspended-vertically-from-a-rigid-ceiling-using-a-thin-wire-attached-t/</loc>
		<lastmod>2026-03-27T10:49:41+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/mathbfm-x_mathbf2-dissociates-into-mathbfmmathbf2-and-mathbfx-ions-in-an-aqueous-solution-with-a-degree-of-dissociation-alpha-of-0-5-the-ratio-of-the-observed-depression-of-freezing-point-of-the-aqueo/</loc>
		<lastmod>2026-03-27T10:47:47+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-alpha-beta-in-r-be-such-that-lim-_x-rightarrow-0-fracx2-sin-beta-xalpha-x-sin-x1-then-6alphabeta-equal/</loc>
		<lastmod>2026-03-27T10:46:39+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/a-compound-mathbfh_mathbf2-mathbfx-with-molar-weight-of-80-g-is-dissolved-in-a-solvent-having-density-of-0-4-mathrmg-mathrmml-1-assuming-no-change-in-volume-upon-dissolution-the-molality-of-a-3-2-mola/</loc>
		<lastmod>2026-03-27T10:45:24+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-zfrac-1sqrt3-i2-where-isqrt-1-and-r-s-in123-let-pleftbeginarraycc-zr-z2-s-z2-s-zrendarrayright-and-i-be-the-identity-matrix-of-order-2-then-the-total-number-of-ordered-pairs-r-s-for-which-p2-i-is/</loc>
		<lastmod>2026-03-27T10:44:51+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/a-closed-container-contains-a-homogeneous-mixture-of-two-moles-of-an-ideal-monatomic-gas-gamma5-3-and-one-mole-of-an-ideal-diatomic-gas-gamma7-5-here-gamma-is-the-ratio-of-the-specific-heats-at-cons-2/</loc>
		<lastmod>2026-03-27T10:43:41+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/a-thin-conducting-rod-mn-of-mass-20-gm-length-25-cm-and-resistance-10-omega-is-held-on-frictionless-long-perfectly-conducting-vertical-rails-as-shown-in-the-figure-there-is-a-uniform-magnetic-field-b_/</loc>
		<lastmod>2026-03-27T10:40:21+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/a-series-lcr-circuit-is-connected-to-a-45-sin-omega-t-volt-source-the-resonant-angular-frequency-of-the-circuit-is-105-mathrmrad-mathrms-1-and-current-amplitude-at-resonance-is-i_0-when-the-angular-fr/</loc>
		<lastmod>2026-03-27T10:37:24+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/list-i-shows-different-radioactive-decay-processes-and-list-ii-provides-possible-emitted-particles-match-each-entry-in-list-i-with-an-appropriate-entry-from-list-ii-and-choose-the-correct-option-a-hre/</loc>
		<lastmod>2026-03-27T10:34:39+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/the-circle-c_1-x2y23-with-centre-at-o-intersects-the-parabola-x22-y-at-the-point-p-in-the-first-quadrant-let-the-tangent-to-the-circle-c_1-at-p-touches-other-two-circles-c_2-and-c_3-at-r_2-and-r_3-res/</loc>
		<lastmod>2026-03-27T10:33:29+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-fprimexfrac192-x32sin-4-pi-x-for-all-x-in-r-with-fleftfrac12right0-if-m-leq-int_1-21-fx-d-x-leq-m-then-the-possible-values-of-m-and-mare/</loc>
		<lastmod>2026-03-27T10:31:50+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/when-mathrmo_2-is-adsorbed-on-a-metallic-surface-electron-transfer-occurs-from-the-metal-to-mathrmo_2-the-true-statements-regarding-this-adsorption-isare/</loc>
		<lastmod>2026-03-27T10:31:13+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/among-leftmathrmnimathrmco_4rightleftmathrmnicl_4right2-leftmathrmcoleftmathrmnh_3right_4-mathrmcl_2right-mathrmcl-mathrmna_2leftmathrmcof_6right3-mathrmna_2-mathrmo_2-and-mathrmcso_2-the-total-number/</loc>
		<lastmod>2026-03-27T06:48:51+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/two-inductors-mathrml_1-inductance-1-mh-internal-resistance-3-omega-and-mathrml_2-inductance-2-ml-internal-resistance-4-omega-and-a-resistor-r-resistance-12-omega-are-all-connected-in-parallel-across/</loc>
		<lastmod>2026-03-27T06:19:40+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/the-isotope-_512-mathrmb-having-a-mass-12-014-u-undergoues-beta-decay-to-_612-mathrmc_1612-mathrmc-has-an-excited-state-of-the-nucleus-left-_612-mathrmcright-at-4-041-mev-above-its-ground-state-if-_51/</loc>
		<lastmod>2026-03-27T06:14:44+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-a-be-a-3-times-3-matrix-such-that-aato-if-aleftbeginarrayc1-1-0endarrayrightleftbeginarrayl3-3-2endarrayright-a2leftbeginarrayc1-1-0endarrayrightleftbeginarrayc-3-19-24endarrayright-and-operatorna/</loc>
		<lastmod>2026-03-27T05:39:03+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/for-the-reaction-mathbfxs-rightleftharpoons-mathbfysmathbfzg-the-plot-of-ln-fracmathrmp_mathrmzmathrmptheta-versus-frac104mathrmt-is-given-below-in-solid-line-where-pz-is-the-pressure-in-bar-of-the-3/</loc>
		<lastmod>2026-03-26T17:14:38+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/the-area-of-the-region-leftx-y-0-leq-x-leq-frac94-0-leq-y-leq-1-x-geq-3-y-xy-geq-2right-is/</loc>
		<lastmod>2026-03-26T17:09:11+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/consider-a-triangle-delta-whose-two-sides-lie-on-the-x-axis-and-the-line-xy10-if-the-orthocentre-of-delta-is-11-then-the-equation-of-the-circle-passing-through-the-vertices-of-the-triangle-delta-is/</loc>
		<lastmod>2026-03-26T17:01:17+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/for-the-reaction-mathbfxs-rightleftharpoons-mathbfysmathbfzg-the-plot-of-ln-fracmathrmp_mathrmzmathrmptheta-versus-frac104mathrmt-is-given-below-in-solid-line-where-pz-is-the-pressure-in-bar-of-the-2/</loc>
		<lastmod>2026-03-26T16:58:18+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/in-a-circuit-a-metal-filament-lamp-is-connected-in-series-with-a-capacitor-of-capacitance-mathrmc-mu-mathrmf-across-a-200-mathrmv-50-mathrmhz-supply-the-power-consumed-by-the-lamp-is-500-w-while-the-2/</loc>
		<lastmod>2026-03-26T16:55:06+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/in-a-circuit-a-metal-filament-lamp-is-connected-in-series-with-a-capacitor-of-capacitance-mathrmc-mu-mathrmf-across-a-200-mathrmv-50-mathrmhz-supply-the-power-consumed-by-the-lamp-is-500-w-while-the-v/</loc>
		<lastmod>2026-03-26T16:51:20+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/an-ideal-gas-of-density-rho0-2-mathrmkg-mathrmm-mathrmm-3-enters-a-chimney-of-height-h-at-the-rate-of-alpha0-8-mathrmkg-mathrms-1-from-its-lower-end-and-escapes-through-the-upper-end-as-shown-in-the-f/</loc>
		<lastmod>2026-03-26T16:48:28+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/the-smallest-division-on-the-main-scale-of-a-vernier-calipers-is-0-1-cm-ten-divisions-of-the-vernier-scale-correspond-to-nine-divisions-of-the-main-scale-the-figure-below-on-the-left-shows-the-reading/</loc>
		<lastmod>2026-03-26T16:44:30+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/a-charge-q-is-surrounded-by-a-closed-surface-consisting-of-an-inverted-cone-of-height-h-and-base-radius-r-and-a-hemisphere-of-radius-r-as-shown-in-the-figure-the-electric-flux-through-the-conical-surf/</loc>
		<lastmod>2026-03-26T16:26:08+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/on-a-frictionless-horizontal-plane-a-bob-of-mass-mathrmm0-1-mathrmkg-is-attached-to-a-spring-with-natural-length-mathrml-00-1-m-the-spring-constant-is-mathrmk_10-009-mathrmnm-1-when-the-length-of-the/</loc>
		<lastmod>2026-03-26T16:23:23+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/in-a-radioactive-decay-chain-reaction-_90230-mathrmth-nucleus-decays-into-_84214-mathrmpo-nucleus-the-ratio-of-the-number-of-alpha-to-number-of-beta-particles-emitted-in-this-process-is-____/</loc>
		<lastmod>2026-03-26T12:22:22+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/a-particle-of-mass-1-kg-is-subjected-to-a-force-which-depends-on-the-position-as-overlinemathrmf-mathrmkhatmathrmxihatmathrmyj-mathrmkgms-2-with-mathrmk1-mathrmkg-mathrms-2-at-time-mathrmt0-the-partic/</loc>
		<lastmod>2026-03-26T12:19:06+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/the-minimum-kinetic-energy-needed-by-an-alpha-particle-to-cause-the-nuclear-reaction-_716-mathrmn-_24-mathrmhe-rightarrow-_11-mathrmh-_819-mathrmo-in-a-laboratory-frame-is-n-in-mev-assume-that-_716-ma/</loc>
		<lastmod>2026-03-26T11:34:55+00:00</lastmod>
	</url>
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		<loc>https://competishun.org/a-cylindrical-furnace-has-height-h-and-diameter-d-both-1-m-it-is-maintained-at-temperature-360-k-the-air-gets-heated-inside-the-furnace-at-constant-pressure-p_a-and-its-temperature-becomes-t360-math-2/</loc>
		<lastmod>2026-03-26T11:23:29+00:00</lastmod>
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		<loc>https://competishun.org/a-cylindrical-furnace-has-height-h-and-diameter-d-both-1-m-it-is-maintained-at-temperature-360-k-the-air-gets-heated-inside-the-furnace-at-constant-pressure-p_a-and-its-temperature-becomes-t360-mathrm/</loc>
		<lastmod>2026-03-26T11:21:39+00:00</lastmod>
	</url>
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		<loc>https://competishun.org/in-the-following-reactions-mathbfp-mathbfq-mathbfr-and-mathbfs-are-the-major-productsa-hrefhttp-competishun-com-wp-content-uploads-2026-03-capture-93-pngimg-srchttp-competishun-com-wp-content-uploads/</loc>
		<lastmod>2026-03-26T11:17:04+00:00</lastmod>
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		<lastmod>2026-03-26T11:14:38+00:00</lastmod>
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		<lastmod>2026-03-26T11:04:31+00:00</lastmod>
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		<loc>https://competishun.org/let-f0-infty-rightarrow-r-be-a-continuous-function-such-that-fx1-2-xint_0x-ex-1-ft-d-t-for-all-mathrmx-in0-infty-then-which-of-the-following-statements-is-are-true/</loc>
		<lastmod>2026-03-26T10:16:38+00:00</lastmod>
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		<loc>https://competishun.org/trigonometric-ratios_jee-main_23-01-2026_s2let-fracpi2thetapi-and-cot-theta-frac12-sqrt2-then-the-value-of-sin-leftfrac15-theta2rightcos-8-thetasin-8-thetacos-leftfrac15-theta2rightcos-8-theta-sin-8-t/</loc>
		<lastmod>2026-03-26T09:53:44+00:00</lastmod>
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		<loc>https://competishun.org/let-vecahatmathrmi-2-hatmathrmj3-hatmathrmk-vecb2-hatmathrmihatmathrmj-hatmathrmk-vecclambda-hatmathrmihatmathrmjhatmathrmk-and-vecvveca-times-vecb-if-vecv-cdot-vecc11-and-the-length-of-the-projection/</loc>
		<lastmod>2026-03-26T09:49:02+00:00</lastmod>
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		<loc>https://competishun.org/jee-main_230126_s2_sllet-a12-and-c-3-6-be-two-diagonally-opposite-vertices-of-a-rhombus-whose-sides-ad-and-bc-are-parallel-to-the-line-7-x-y14-if-mathrmbalpha-beta-and-mathrmdgamma-delta-are-the-other/</loc>
		<lastmod>2026-03-26T09:47:06+00:00</lastmod>
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		<loc>https://competishun.org/jee-main_230126_s2_fnconsider-two-sets-mathrmax-in-mathbbzx-3-3-mid-leq-1-and-mathrmbleftx-in-mathbbr-12-fracx-2x-4x-1-log-_ex-20right-then-the-number-of-onto-functions-f-mathrma-rightarrow-mathrmb-is/</loc>
		<lastmod>2026-03-26T09:44:58+00:00</lastmod>
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		<loc>https://competishun.org/the-system-of-linear-equations-beginaligned-xyz6-2-x5-ya-z36-x2-y3-zb-endaligned-brhas/</loc>
		<lastmod>2026-03-26T09:39:19+00:00</lastmod>
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		<loc>https://competishun.org/the-sum-of-all-the-real-solutions-of-the-equation-br-log-_x3left6-x228-x30right5-2-log-_6-x10leftx26-x9right-bris-equal-to/</loc>
		<lastmod>2026-03-26T09:38:20+00:00</lastmod>
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		<loc>https://competishun.org/5if-the-points-of-intersection-of-the-ellipses-br-x22-y2-6-x-12-y230-and-4-x22-y2-20-x-12-y350-br-lie-on-a-circle-of-radius-r-and-centre-a-b-then-the-value-of-a-b18-r2-is/</loc>
		<lastmod>2026-03-26T09:37:18+00:00</lastmod>
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		<loc>https://competishun.org/jee-main_230126_s2_hblet-pq-be-a-chord-of-the-hyperbola-fracx24-fracy2b21-perpendicular-to-the-x-axis-such-that-opq-is-an-equilateral-triangle-o-being-the-centre-of-the-hyperbola-if-the-eccentricity-o/</loc>
		<lastmod>2026-03-26T09:35:20+00:00</lastmod>
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		<loc>https://competishun.org/vector-3d_jee-main_23-01-2026_s2let-veca-vecb-vecc-be-three-vectors-such-that-veca-times-vecb2veca-times-vecc-if-veca1vecb4vecc2-and-the-angle-between-vecb-and-vecc-is-60circ-then-veca-cdot-vecc-is-eq/</loc>
		<lastmod>2026-03-26T09:32:53+00:00</lastmod>
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		<loc>https://competishun.org/parabola_jee-main_23-01-2026_s2bag-a-contains-9-white-and-8-black-balls-while-bag-b-contains-6-white-and-4-black-balls-one-ball-is-randomly-picked-up-from-the-bag-b-and-mixed-up-with-the-balls-in-the/</loc>
		<lastmod>2026-03-26T09:31:24+00:00</lastmod>
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		<loc>https://competishun.org/the-area-of-the-region-enclosed-between-the-circles-x2y24-and-x2y-224-is/</loc>
		<lastmod>2026-03-26T09:29:05+00:00</lastmod>
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		<loc>https://competishun.org/jee-main_230126_s2_trthe-least-value-of-leftcos-2-theta-6-sin-theta-cos-theta3-sin-2-theta2right-is/</loc>
		<lastmod>2026-03-26T09:28:11+00:00</lastmod>
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		<loc>https://competishun.org/let-mathrmixint-frac3-d-x4-x6leftsqrt4-x28-x3right-and-mathrmi0fracsqrt3420-if-mathrmileftfrac12rightfraca-sqrt2bmathrmc-where-a-b-mathrmc-in-mathrmn-operatornamegcda-b1-then-abc-is-equal-to/</loc>
		<lastmod>2026-03-26T09:23:56+00:00</lastmod>
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		<loc>https://competishun.org/permutations-and-combinations_jee-main_23-01-2026_s2permutations-and-combinations/</loc>
		<lastmod>2026-03-26T09:14:33+00:00</lastmod>
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		<loc>https://competishun.org/let-mathrma012-ldots-9-let-r-be-a-relation-on-a-defined-by-x-y-in-mathrmr-if-and-only-if-x-y-is-a-multiple-of-3-brgiven-below-are-two-statements-brstatement-i-nmathrmr36-brstatement-ii-r-is-an-equival/</loc>
		<lastmod>2026-03-26T09:12:45+00:00</lastmod>
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		<loc>https://competishun.org/jee-main_230126_s2_malet-aleftbeginarrayccc0-2-3-2-0-1-3-1-0endarrayright-and-b-be-a-matrix-such-that-bi-aia-then-the-sum-of-the-diagonal-elements-of-bt-b-is-equal-to-____/</loc>
		<lastmod>2026-03-26T09:11:03+00:00</lastmod>
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		<loc>https://competishun.org/vector-3d_jee-main_230126_s2if-the-image-of-the-point-mathrmpa-2-a-in-the-line-fracx2fracya1fracz1-is-q-and-the-image-of-q-in-the-line-fracx-2-b2fracy-a1fracz2-b-5-is-p-then-ab-is-equal-to/</loc>
		<lastmod>2026-03-26T09:09:39+00:00</lastmod>
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		<loc>https://competishun.org/parabola_jee-main_23-01-2026_s2an-equilateral-triangle-oab-is-inscribed-in-the-parabola-y24-x-with-the-vertex-o-at-the-vertex-of-the-parabola-then-the-minimum-distance-of-the-circle-having-ab-as-a-dia/</loc>
		<lastmod>2026-03-26T09:07:11+00:00</lastmod>
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		<loc>https://competishun.org/definite-integration_jee-main_23-01-2026_s2/</loc>
		<lastmod>2026-03-26T09:05:51+00:00</lastmod>
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		<loc>https://competishun.org/consider-the-lines-mathrml_1-x-1y-2mathrmz-and-mathrml_2-x-2ymathrmz-1-let-the-feet-of-the-perpendiculars-from-the-point-p51-3-on-the-lines-l_1-and-l_2-be-q-and-r-respectively-if-the-area-of-the-trian/</loc>
		<lastmod>2026-03-26T09:04:24+00:00</lastmod>
	</url>
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		<loc>https://competishun.org/complex-number_jee-main_23-01-2026_s2if-zfracsqrt32fraci2-isqrt-1-then-leftz201-iright8-is-equal-to/</loc>
		<lastmod>2026-03-26T09:04:00+00:00</lastmod>
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		<loc>https://competishun.org/let-the-system-of-equations-beginaligned-x5-y-z1-4-x3-y-3-z7-24-xylambda-zmu-endaligned-lambda-mu-in-mathbfr-have-infinitely-many-solutions-then-the-number-of-the-solutions-of-this-system-if-mathrmx-m/</loc>
		<lastmod>2026-03-26T09:01:37+00:00</lastmod>
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		<loc>https://competishun.org/let-the-length-of-a-latus-rectum-of-an-ellipse-fracx2a2fracy2b21-be-10-if-its-eccentricity-is-the-minimum-value-of-the-function-fmathrmtmathrmt2mathrmtfrac1112-mathrmt-in-mathbfr-then-mathrma2mathrmb2/</loc>
		<lastmod>2026-03-26T08:59:42+00:00</lastmod>
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		<loc>https://competishun.org/jee-main_230126_s2_stif-the-mean-and-the-variance-of-the-data-bra-hrefhttp-competishun-com-wp-content-uploads-2026-02-kashyap-68-pngimg-srchttp-competishun-com-wp-content-uploads-2026-02-kashyap-68-pn/</loc>
		<lastmod>2026-03-26T08:58:55+00:00</lastmod>
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		<loc>https://competishun.org/permutations-and-combinations_jee-main_23-01-2026_s2/</loc>
		<lastmod>2026-03-26T08:56:08+00:00</lastmod>
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		<loc>https://competishun.org/jee-main_230126_s2_deif-the-solution-curve-yfx-of-the-differential-equation-leftx2-4right-yprime-2-x-y2-xleft4-x2right20-x2-brpasses-through-the-point-315-then-the-local-maximum-value-of-f-is-____/</loc>
		<lastmod>2026-03-26T08:54:20+00:00</lastmod>
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		<loc>https://competishun.org/131-mathrmi-is-an-isotope-of-iodine-that-beta-decays-to-an-isotope-of-xenon-with-a-half-life-of-8-days-a-small-amount-of-a-serum-labelled-with-131-mathrmi-is-injected-into-the-blood-of-a-person-the-ac/</loc>
		<lastmod>2026-03-26T08:50:24+00:00</lastmod>
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		<loc>https://competishun.org/jee-main_230126_s2_sslet-sum_k1n-a_kalpha-n2beta-n-if-a_1059-and-a_67-a_1-then-alphabeta-is-equal-to/</loc>
		<lastmod>2026-03-26T08:48:34+00:00</lastmod>
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		<loc>https://competishun.org/let-alpha-beta-be-the-roots-of-the-quadratic-equation-12-x2-20-x3-lambda0-lambda-in-z-if-left-frac12-leq-beta-alpha-rightrvert-leq-frac32-then-the-sum-of-all-possible-values-of-lambda-is/</loc>
		<lastmod>2026-03-26T08:43:51+00:00</lastmod>
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		<loc>https://competishun.org/let-mathrmsleftz-in-mathbbc-4-z2barz0right-then-sum_z-in-mathrmsz2-is-equal-to/</loc>
		<lastmod>2026-03-26T08:41:25+00:00</lastmod>
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		<loc>https://competishun.org/let-veca-and-vecb-be-the-vectors-of-the-same-magnitude-such-that-fracvecavecbveca-vecbvecavecb-veca-vecbsqrt21-then-fracvecavecb2veca2-is/</loc>
		<lastmod>2026-03-26T08:40:50+00:00</lastmod>
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		<loc>https://competishun.org/if-the-equation-of-the-line-passing-through-the-point-left0-frac12-0right-and-perpendicular-to-the-lines-overrightarrowmathrmrlambdahatimathrma-hatjmathrmb-hatk-quad-and-quad-overrightarrowmathrmrhati/</loc>
		<lastmod>2026-03-26T08:39:20+00:00</lastmod>
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		<loc>https://competishun.org/let-mathrmc_mathrmr-denote-the-coefficient-of-xmathrmr-in-the-binomial-expansion-of-1xmathrmn-mathrmn-in-mathrmn-0-leq-mathrmr-leq-mathrmn-if-p_nc_0-c_1frac223-c_2-frac234-c_3ldots-frac-2nn1-c_n-then/</loc>
		<lastmod>2026-03-26T08:31:26+00:00</lastmod>
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		<loc>https://competishun.org/let-mathrmp102-sqrt15-be-a-point-on-the-hyperbola-fracx2mathrma2-fracy2mathrmb21-whose-foci-are-s-and-mathrmsprime-if-the-length-of-its-latus-rectum-is-8-then-the-square-of-the-area-of-delta-mathrmpss/</loc>
		<lastmod>2026-03-26T08:27:25+00:00</lastmod>
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		<loc>https://competishun.org/three-vectors-vecp-vecq-and-vecr-are-shown-in-the-figure-let-s-be-any-point-on-the-vector-vecr-the-distance-between-the-points-p-and-s-is-bvecr-the-general-relation-among-vectors-vecp-vecq-and-vecs-is/</loc>
		<lastmod>2026-03-26T07:09:38+00:00</lastmod>
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		<loc>https://competishun.org/let-aalpha-beta-in-mathbfr-times-mathbfralpha-1-leqslant-4-and-beta-5-leqslant-6-and-bleftalpha-beta-in-mathbfr-times-mathbfr-16alpha-229beta-62-leqslant-144right-then/</loc>
		<lastmod>2026-03-26T07:08:02+00:00</lastmod>
	</url>
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		<loc>https://competishun.org/let-a_n-be-the-nn-term-of-an-a-p-if-s_na_1a_2a_3ldotsa_n700-a_07-and-s_77-then-a_n-is-equal-to/</loc>
		<lastmod>2026-03-26T06:56:55+00:00</lastmod>
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		<loc>https://competishun.org/if-the-range-of-the-function-fxfrac5-xx2-3-x2-x-neq-12-is-infty-alpha-cupbeta-infty-then-alpha2beta2-is-equal-to/</loc>
		<lastmod>2026-03-26T06:54:31+00:00</lastmod>
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		<lastmod>2026-03-26T06:52:43+00:00</lastmod>
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		<loc>https://competishun.org/if-the-area-of-the-region-leftx-y-1x2-leqslant-y-leqslant-min-x7-11-3-xright-is-a-then-3-a-is-equal-to/</loc>
		<lastmod>2026-03-26T06:50:25+00:00</lastmod>
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		<loc>https://competishun.org/if-the-locus-of-z-in-mathrmc-such-that-operatornamereleftfracz-12-zirightoperatornamereleftfracbarz-12-barz-iright2-is-a-circle-of-radius-r-and-center-a-b-then-frac15-a-br2-is-equal-to/</loc>
		<lastmod>2026-03-26T06:47:27+00:00</lastmod>
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		<loc>https://competishun.org/the-number-of-solutions-of-the-equation-cos-2-theta-cos-fractheta2cos-frac5-theta22-cos-2-frac5-theta2-in-left-fracpi2-fracpi2right-is/</loc>
		<lastmod>2026-03-26T06:45:42+00:00</lastmod>
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		<loc>https://competishun.org/if-the-orthocenter-of-the-triangle-formed-by-the-lines-yx1-y4-x-8-and-ym-xc-is-at-3-1-then-mathrmm-mathrmc-is/</loc>
		<lastmod>2026-03-26T06:43:51+00:00</lastmod>
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		<loc>https://competishun.org/the-number-of-real-roots-of-the-equation-xx-23x-310-is-i/</loc>
		<lastmod>2026-03-26T06:39:01+00:00</lastmod>
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		<loc>https://competishun.org/the-number-of-elements-in-the-relation-mathrmrleftx-y-4-x2y252-x-y-in-mathbfzright-is/</loc>
		<lastmod>2026-03-26T06:33:54+00:00</lastmod>
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		<loc>https://competishun.org/if-xleftbeginarraycx-y-zendarrayright-is-a-solution-of-the-system-of-equations-a-xb-where-operatornameadj-aleftbeginarrayccc4-2-2-5-0-5-1-2-3endarrayright-and-bleftbeginarrayl4-0-2endarrayright-then-x/</loc>
		<lastmod>2026-03-26T06:28:46+00:00</lastmod>
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		<loc>https://competishun.org/let-f-and-g-be-functions-satisfying-fxyfx-fy-f17-and-gxygx-y-g11-for-all-x-y-in-mathbfn-if-sum_x1mathrmnleftfracfxgxright19607-then-n-is-equal-to/</loc>
		<lastmod>2026-03-26T06:26:19+00:00</lastmod>
	</url>
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		<loc>https://competishun.org/let-s-and-sprime-be-the-foci-of-the-ellipse-fracx225fracy291-and-palpha-beta-be-a-point-on-the-ellipse-in-the-first-quadrant-if-mathrmsp2leftmathrmsprime-mathrmpright2-mathrmsp-cdot-mathrmspprime37-th/</loc>
		<lastmod>2026-03-26T06:24:54+00:00</lastmod>
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		<loc>https://competishun.org/if-the-mean-deviation-about-the-median-of-the-numbers-mathrmk-2-mathrmk-3-mathrmk-ldots-ldots-1000-mathrmk-is-500-then-mathrmk2-is-equal-to/</loc>
		<lastmod>2026-03-26T06:24:00+00:00</lastmod>
	</url>
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		<loc>https://competishun.org/let-yyx-be-the-solution-of-the-differential-equation-leftx21right-y2-2-x-yleftx42-x21right-cos-x-y01-then-int_-23-yx-mathrmd-x-is/</loc>
		<lastmod>2026-03-26T06:16:23+00:00</lastmod>
	</url>
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		<loc>https://competishun.org/2149a-bag-contains-19-unbiased-coins-and-one-coin-with-head-on-both-sides-one-coin-drawn-at-random-is-tossed-and-head-turns-up-if-the-probability-that-the-drawn-coin-was-unbiased-is-fracmn-operatornam/</loc>
		<lastmod>2026-03-26T06:14:04+00:00</lastmod>
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		<loc>https://competishun.org/the-area-of-the-region-mathrmaleftx-y-4-x2y2-leq-8right-and-left-y2-leq-4-xright-is/</loc>
		<lastmod>2026-03-26T06:12:40+00:00</lastmod>
	</url>
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		<loc>https://competishun.org/for-mathrmt-1-let-alpha_mathrmt-and-beta-be-the-roots-of-the-equation-leftt21-7-1right-x2leftt21-0-1right-xleftt22-2-1right0-text-if-lim-_t-rightarrow-1-alpha_ta-text-and-lim-_t-rightarrow-1-beta_tb-t/</loc>
		<lastmod>2026-03-26T06:12:39+00:00</lastmod>
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		<loc>https://competishun.org/the-sum-of-the-series-2-times-1-times0-mathrmc_4-3-times-2-times0-mathrmc_54-times-3-times20-mathrmc_6-5-times-4-times0-mathrmc_7cdots-cdots18-times-17-times0-mathrmc_20-is-equal-to-____/</loc>
		<lastmod>2026-03-26T06:11:04+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/maxima-and-minima_jee-main_070425_s2/</loc>
		<lastmod>2026-03-26T06:08:07+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-a-random-variable-x-take-values-0123-with-px0px1p-px2px3-and-eleftx2right2-ex-then-the-value-of-8-p-1-is/</loc>
		<lastmod>2026-03-26T06:06:46+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-c_1-and-c_2-be-the-eccentricities-of-the-ellipse-fracx2b2fracy2251-and-the-hyperbola-fracx216-fracy2b21-respectively-if-mathrmb5-and-e_1-e_21-then-the-eccentricity-of-the-ellipse-having-its-axes-a/</loc>
		<lastmod>2026-03-26T06:05:25+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/among-the-statements-s1-if-mathrma5-1-and-mathrmb-23-are-two-vertices-of-a-triangle-whose-orthocentre-is-00-then-its-third-vertex-is-4-7-and-s2-if-positive-numbers-2-a-b-c-are-three-consecutive-terms/</loc>
		<lastmod>2026-03-26T06:04:15+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-the-locus-of-the-mid-point-of-the-chord-through-the-origin-o-of-the-parabola-y24-x-be-the-curve-s-let-p-be-any-point-on-s-then-the-locus-of-the-point-which-internally-divides-o-p-in-the-ratio-3-1/</loc>
		<lastmod>2026-03-26T06:01:55+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-fxx2-x3-3-x-in-mathbfr-where-cdot-is-the-greatest-integer-function-then-options/</loc>
		<lastmod>2026-03-26T06:00:58+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-veca2-hati-hatjhatk-and-vecblambda-hatj2-hatk-lambda-in-z-be-two-vectors-let-veccveca-times-vecb-and-vecd-be-a-vector-of-magnitude-2-in-yz-plane-if-veccsqrt53-then-the-maximum-possible-value-of-ve/</loc>
		<lastmod>2026-03-26T05:58:34+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-the-lengths-of-the-transverse-and-conjugate-axes-of-a-hyperbola-in-standard-form-be-2-a-and-2-b-respectively-and-one-focus-and-the-corresponding-directrix-of-this-hyperbola-be-50-and-5-x90-respect/</loc>
		<lastmod>2026-03-26T05:52:50+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-cos-alphabeta-frac110-and-sin-alpha-betafrac38-where-0alphafracpi3-and-0betafracpi4-if-tan-2-alphafrac31-r-sqrt5sqrt11ssqrt5-r-s-in-n-then-rs-is-equal-to-____/</loc>
		<lastmod>2026-03-26T05:52:01+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/suppose-mathrma-mathrmb-mathrmc-are-in-a-p-and-a2-2-b2-c2-are-in-g-p-if-abc-and-abc1-then-9lefta2b2c2right-is-equal-to-____/</loc>
		<lastmod>2026-03-26T05:50:20+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-p-be-the-number-of-all-triangles-that-can-be-formed-by-joining-the-vertices-of-a-regular-polygon-p-of-n-sides-and-q-be-the-number-of-all-quadrilaterals-that-can-be-formed-by-joining-the-vertices-o/</loc>
		<lastmod>2026-03-26T05:48:43+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-l-be-the-line-fracx12fracy13fracz36-and-let-s-be-the-set-of-all-points-mathrma-mathrmb-mathrmc-on-l-whose-distance-from-the-line-fracx12fracy13fracz-90-along-the-line-l-is-7-then-sum_a-b-c-in-sabc/</loc>
		<lastmod>2026-03-26T05:47:55+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-s-be-the-set-of-the-first-11-natural-numbers-then-the-number-of-elements-in-ab-subseteq-s-nb-geq-2-and-the-product-of-all-elements-of-b-is-even-is-____/</loc>
		<lastmod>2026-03-26T05:45:42+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-a-vector-overrightarrowmathrmasqrt2-hati-hatjlambda-hatk-lambda0-make-an-obtuse-angle-with-the-vector-overrightarrowmathrmb-lambda2-hati4-sqrt2-hatj4-sqrt2-hatk-and-an-angle-theta-fracpi6thetafrac/</loc>
		<lastmod>2026-03-26T05:43:06+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-bullet-denote-the-greatest-integer-function-and-let-fxmin-leftsqrt2-x-x2right-let-mathrmsleftx-in-22right-the-function-mathrmgxxleftx2right-is-discontinuous-at-left-xright-then-sum_x-in-s-fx-equal/</loc>
		<lastmod>2026-03-26T05:40:02+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-cdot-be-the-greatest-integer-function-if-alphaint_064leftx1-3-leftx1-3rightright-mathrmd-x-then-frac1pi-int_0alpha-pileftfracsin-2-thetasin-6-thetacos-6-thetaright-mathrmd-theta-is-equal-to-____/</loc>
		<lastmod>2026-03-26T05:30:49+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-n-be-the-number-obtained-on-rolling-a-fair-die-if-the-probability-that-the-system-beginaligned-x-mathrmn-yz6-xmathrmn-2-ymathrmn1-z8-mathrmn-1-yz1-endaligned-has-a-unique-solution-is-frack6-then-t/</loc>
		<lastmod>2026-03-26T05:29:12+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/the-positive-integer-n-for-which-the-solutions-of-the-equation-xx2x2x4cdotsx2-n-2x2-nfrac8-n3-are-two-consecutive-even-integers-is/</loc>
		<lastmod>2026-03-26T05:14:48+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-f-mathbfr-rightarrow-mathbfr-be-a-twice-differentiable-function-such-that-fprime-primex0-for-all-x-in-mathbfr-and-fprimemathrma-10-where-a-is-a-real-number-let-mathrmgxflefttan-2-x-2-tan-xmathrmar/</loc>
		<lastmod>2026-03-26T05:13:27+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-fxx3x2-fprime12-x-fprime-prime2fprime-prime-prime3-x-in-mathbfr-then-the-value-of-fprime5-is/</loc>
		<lastmod>2026-03-26T05:11:42+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/if-the-line-alpha-x4-ysqrt7-where-alpha-in-mathbfr-touches-the-ellipse-3-x24-y21-at-the-point-p-in-the-first-quadrant-then-one-of-the-focal-distances-of-p-is/</loc>
		<lastmod>2026-03-26T05:09:03+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-y212-x-be-the-parabola-with-its-vertex-at-o-let-p-be-a-point-on-the-parabola-and-a-be-a-point-on-the-x-axis-such-that-angle-mathrmopa90circ-then-the-locus-of-the-centroid-of-such-triangles-opa-is/</loc>
		<lastmod>2026-03-26T05:06:29+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-one-end-of-a-focal-chord-of-the-parabola-y216-x-be-1616-if-mathrmpalpha-beta-divides-this-focal-chord-internally-in-the-ratio-5-2-then-the-minimum-value-of-alphabeta-is-equal-to/</loc>
		<lastmod>2026-03-26T05:02:59+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-the-line-l-pass-through-the-point-352-and-make-equal-angles-with-the-positive-coordinate-axes-if-the-distance-of-l-from-the-point-2-r-1-is-sqrtfrac143-then-the-sum-of-all-possible-values-of-r-is/</loc>
		<lastmod>2026-03-26T05:01:39+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/which-one-of-the-following-options-represents-the-magnetic-field-vecb-at-o-due-to-the-current-flowing-in-the-given-wire-segments-lying-on-the-xy-planea-hrefhttp-competishun-com-wp-content-uploads-2026/</loc>
		<lastmod>2026-03-25T21:39:30+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/area-of-the-cross-section-of-a-wire-is-measured-using-a-screw-gauge-the-pitch-of-the-main-scale-is-0-5-mm-the-circular-scale-has-100-divisions-and-for-one-full-rotation-of-the-circular-scale-the-main/</loc>
		<lastmod>2026-03-25T21:34:27+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/consider-an-lc-circuit-with-inductance-l0-1-mathrmh-and-capacitance-c10-3-mathrmf-kept-on-a-plane-the-area-of-the-circuit-is-1-mathrmm2-it-is-placed-in-a-constant-magnetic-field-of-strength-b-0-which/</loc>
		<lastmod>2026-03-25T21:13:07+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/for-the-reaction-mathbfxs-rightleftharpoons-mathbfysmathbfzg-the-plot-of-ln-fracmathrmp_mathrmzmathrmptheta-versus-frac104mathrmt-is-given-below-in-solid-line-where-pz-is-the-pressure-in-bar-of-the-ga/</loc>
		<lastmod>2026-03-25T20:54:58+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/for-the-following-reaction-scheme-percentage-yields-are-given-along-the-arrowbra-hrefhttp-competishun-com-wp-content-uploads-2026-03-capture-164-pngimg-srchttp-competishun-com-wp-content-uploads-202-2/</loc>
		<lastmod>2026-03-25T20:35:44+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/two-spherical-stars-a-and-b-have-densities-rho_a-and-rho_b-respectively-a-and-b-have-the-same-radius-and-their-masses-m_a-and-m_b-are-related-by-m_b2-m_a-due-to-an-interaction-process-star-a-loses-som/</loc>
		<lastmod>2026-03-25T16:36:49+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/in-the-given-p-v-diagram-a-monoatomic-gas-leftyfrac53right-is-first-compressed-adiabatically-from-state-a-state-b-then-it-expands-isothermally-from-state-b-to-state-c-given-leftfrac13right0-60-5-in-20/</loc>
		<lastmod>2026-03-25T12:39:01+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/chemistry_jee-advance-2021_s1/</loc>
		<lastmod>2026-03-25T12:36:27+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/if-the-area-of-the-region-bounded-by-the-curves/</loc>
		<lastmod>2026-03-25T12:30:18+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/the-set-and-is-purely-real-contains-exactly-two-elements/</loc>
		<lastmod>2026-03-25T12:29:19+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/which-both-the-roots-of-the-equation/</loc>
		<lastmod>2026-03-25T12:24:20+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/the-solution-curve-of-the-differential-equation/</loc>
		<lastmod>2026-03-25T12:22:56+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/for-the-given-close-packed-structure-of-a-salt-made-of-cation-x-and-anion-y-shown-below-ions-of-only-one-face-are-shown-for-clarity-the-packing-fraction-is-approximately/</loc>
		<lastmod>2026-03-25T12:18:45+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/from-a-group-of-7-batsmen-and-6-bowlers-10-players-are-to-be-chosen-for-a-team/</loc>
		<lastmod>2026-03-25T12:12:09+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-abc-be-the-triangle-such-that-the-equations-of-lines-ab-and-ac/</loc>
		<lastmod>2026-03-25T12:07:51+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-the-line-l-pass-through-111-and-intersect-the-lines/</loc>
		<lastmod>2026-03-25T12:07:09+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-m-and-m-respectively-be-the-absolute-minimum-and-the-absolute-maximum-values/</loc>
		<lastmod>2026-03-25T12:06:25+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/the-remainder-when/</loc>
		<lastmod>2026-03-25T12:04:14+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-p-be-the-parabola-whose-focus-is-2-1-and-directrix/</loc>
		<lastmod>2026-03-25T12:02:48+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/the-integral-int_0pi-fracx-3sin-x1-3cos-2x-dx-is-equal-to/</loc>
		<lastmod>2026-03-25T12:01:52+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/limits-jee-main-2025-07-04-2025-shift-1/</loc>
		<lastmod>2026-03-25T11:59:57+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/if-the-latus-ractum-through-its-other-focus-subtends-a-right-angle-at-p/</loc>
		<lastmod>2026-03-25T11:58:31+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/with-no-two-consecutive-numbers-for-example/</loc>
		<lastmod>2026-03-25T11:57:04+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/a-disk-of-radius-r-with-uniform-positive-charge-density-sigma-is-placed-on-the-x-y-plane-with-its-center-at-the-origin-the-coulomb-potential-along-the-z-axis-is-vzfracsigma2-epsilon_0leftsqrtr2z2-zrig/</loc>
		<lastmod>2026-03-25T11:56:17+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/which-are-reflexive-and-transitive-but-not-symmetric-is/</loc>
		<lastmod>2026-03-25T11:55:49+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/two-concentric-circular-loops-one-of-radius-r-and-the-other-of-radius-2-r-lie-in-the-x-y-plane-with-the-origin-as-their-common-center-as-shown-in-the-figure-the-smaller-loop-carries-current-mathrmi_1/</loc>
		<lastmod>2026-03-25T11:50:45+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/a-projectile-is-thrown-from-a-point-o-on-the-ground-at-an-angle-45circ-from-the-vertical-and-with-a-speed-5-sqrt2-mathrmm-mathrms-the-projectile-at-the-highest-point-of-its-trajectory-splits-into-tw-2/</loc>
		<lastmod>2026-03-25T11:45:10+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/a-projectile-is-thrown-from-a-point-o-on-the-ground-at-an-angle-45circ-from-the-vertical-and-with-a-speed-5-sqrt2-mathrmm-mathrms-the-projectile-at-the-highest-point-of-its-trajectory-splits-into-two/</loc>
		<lastmod>2026-03-25T11:42:05+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/for-a-reaction-mathrma-rightleftharpoons-mathrmp-the-plots-of-mathrma-and-mathrmp-with-time-at-temperatures-t_1-and-t_2-are-given-below-a-hrefhttp-competishun-com-wp-content-uploads-2026-03-1-288-jpgi/</loc>
		<lastmod>2026-03-25T11:29:21+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/suppose-a-_88226-mathrmra-nucleus-at-rest-and-in-ground-state-undergoes-alpha-decay-to-a-_86222-mathrmrn-nucleus-in-its-excited-state-the-kinetic-energy-of-the-emitted-alpha-particle-is-found-to-be-4/</loc>
		<lastmod>2026-03-25T11:08:37+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-the-line-mathrml_1-be-parallel-to-the-vector-3-hati2-hatj4-hatk-and-pass-through-the-point-267-and-the-line-l_2-be-parallel-to-the-vector-2-hatihatj3-hatk-and-pass-through-the-point-435-if-the-lin/</loc>
		<lastmod>2026-03-25T11:07:57+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-alpha-and-beta-be-the-roots-of-the-equation-x22-a-x3-a100-such-that-alpha1beta-then-the-set-of-all-possible-values-of-a-is/</loc>
		<lastmod>2026-03-25T11:06:33+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/a-random-variable-x-takes-values-0123-with-probabilities-frac2-a130-frac8-a-130-frac4-a130-b-respectively-where-mathrma-mathrmb-in-mathrmr-let-mu-and-sigma-respectively-be-the-mean-and-standard-deviat/</loc>
		<lastmod>2026-03-25T11:02:39+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/if-the-area-of-the-region-leftx-y-1-2-x-leq-y-leq-4-x2-x-geq-0-y-geq-0right-is-fracalphabeta-alpha-beta-in-mathbfn-operatornamegcdalpha-beta1-then-the-value-of-alphabeta-is/</loc>
		<lastmod>2026-03-25T11:00:57+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/if-the-shortest-distance-between-the-lines/</loc>
		<lastmod>2026-03-25T10:45:46+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-the-angle-theta-0-theta-fracpi-2-between-two-unit-vectors/</loc>
		<lastmod>2026-03-25T10:27:12+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-the-system-of-equations/</loc>
		<lastmod>2026-03-25T10:22:25+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/the-number-of-singular-matrices-of-order-2-whose-elements-are-from-the-set-2369-is-______/</loc>
		<lastmod>2026-03-25T10:20:26+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/the-number-of-points-of-discontinuity-of-the-function/</loc>
		<lastmod>2026-03-25T10:13:26+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/among-mathrmb_2-mathrmh_6-mathrmb_3-mathrmn_3-mathrmh_6-mathrmn_2-mathrmo-mathrmn_2-mathrmo_4-mathrmh_2-mathrms_2-mathrmo_3-and-mathrmh_2-mathrms_2-mathrmo_8-the-total-number-of-molecules-containing-c/</loc>
		<lastmod>2026-03-25T10:11:36+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/the-axis-of-a-parabola-is-the-line-yx-and-its-vertex-and-focus-are-in-the-first-quadrant-at-distances-sqrt2-and-2-sqrt2-units-from-the-origin-respectively-if-the-point-1-k-lies-on-the-parabola-then-a/</loc>
		<lastmod>2026-03-25T10:07:24+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-the-values-of-p-for-which-the-shortest-distance-between-the-lines-fracx13fracy4fracz5-and-overrightarrowmathrmrmathrmp-hati2-hatjhatklambda2-hati3-hatj4-hatk-is-frac1sqrt6-be-mathrma-mathrmbmathrm/</loc>
		<lastmod>2026-03-25T10:05:33+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-a_1-fraca_22-fraca_322-ldots-fraca_1029-be-a-g-p-of-common-ratio-frac1sqrt2-if-a_1a_2ldotsa_1062-then-a_1-is-equal-to/</loc>
		<lastmod>2026-03-25T10:02:33+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-the-matrix-aleftbeginarraylll1-0-0-1-0-1-0-1-0endarrayright-satisfy-anan-2a2-1-for-n-geqslant-3-then-the-sum-of-all-the-elements-of-a50-is/</loc>
		<lastmod>2026-03-25T10:00:06+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-mathrmaleftxleftx2-10right-leq-6right-and-mathrmbxx-21-then/</loc>
		<lastmod>2026-03-25T09:59:26+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/for-the-matrices-mathrmaleftbeginarrayll3-4-1-1endarrayright-and-mathrmbleftbeginarrayll-29-49-13-18endarrayright-if-leftmathrma15mathrmbrightleftbeginarraylx-yendarrayrightleftbeginarrayl0-0endarrayr/</loc>
		<lastmod>2026-03-25T09:57:17+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/consider-two-sets-a-and-b-each-containing-three-numbers-in-a-p-let-the-sum-and-the-product-of-the-elements-of-a-be-36-and-p-respectively-and-the-sum-and-the-product-of-the-elements-of-b-be-36-and-q-re/</loc>
		<lastmod>2026-03-25T09:56:50+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/for-a-triangle-a-b-c-let-vecpoverrightarrowb-c-vecqoverrightarrowc-a-and-vecroverrightarrowb-a-if-vecp2-sqrt3vecq2-and-cos-thetafrac1sqrt3-where-theta-is-the-angle-between-vecp-and-vecq-then-vecp-time/</loc>
		<lastmod>2026-03-25T09:55:28+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/if-leftfrac1-15-mathrmc_0frac1-15-mathrmc_1rightleftfrac1-15-mathrmc_1frac1-15-mathrmc_2right-ldotsleftfrac1-15-mathrmc_12frac1-15-mathrmc_13rightfracalpha13-14-mathrmc_0-14-mathrmc_1-cdots-14-mathrmc/</loc>
		<lastmod>2026-03-25T09:51:54+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-f-be-a-differentiable-function-on-mathbfr-such-that-f21-fprime24-let-lim-_x-rightarrow-0f2x3-xmathbfealpha-then-the-number-of-times-the-curve-y4-x3-4-x2-4alpha-7-x-alpha-meets-x-axis-is/</loc>
		<lastmod>2026-03-25T09:51:40+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/if-the-system-of-equations-beginaligned-3-xy4-z3-2-xalpha-y-z-3-x2-yz4-endaligned-has-no-solution-then-the-value-of-alpha-is-equal-to/</loc>
		<lastmod>2026-03-25T09:49:42+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/in-the-x-y-plane-the-region-y0-has-a-uniform-magnetic-field-b_1-hatk-and-the-region-y0-has-another-uniform-magnetic-field-b_2-hatk-a-positively-charged-particle-is-projected-from-the-origin-along-the/</loc>
		<lastmod>2026-03-25T09:49:18+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-the-mean-and-the-standard-deviation-of-the-observation-233457-a-b-be-4-and-sqrt2-respectively-then-the-mean-deviation-about-the-mode-of-these-observations-is/</loc>
		<lastmod>2026-03-25T09:48:52+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-a-be-the-point-of-intersection-of-the-lines-l_1-fracx-71fracy-50fracz-3-1-and-l_2-fracx-13fracy34fracz75-let-b-and-c-be-the-points-on-the-lines-l_1-and-l_2-respectively-such-that-a-ba-csqrt15-then/</loc>
		<lastmod>2026-03-25T09:47:01+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/let-for-two-distinct-values-of-p-the-lines-yxmathrmp-touch-the-ellipse-mathrme-fracx242fracy2321-at-the-points-a-and-b-let-the-line-yx-intersect-e-at-the-points-c-and-d-then-the-area-of-the-quadrilate/</loc>
		<lastmod>2026-03-25T09:45:00+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/if-p-is-a-point-on-the-circle-x2y24-mathrmq-is-a-point-on-the-straight-line-5-xy20-and-x-y10-is-the-perpendicular-bisector-of-pq-then-13-times-the-sum-of-abscissa-of-all-such-points-p-is-____/</loc>
		<lastmod>2026-03-25T09:44:54+00:00</lastmod>
	</url>
	<url>
		<loc>https://competishun.org/if-the-sum-of-the-first-20-terms-of-the-series-frac4-cdot-143-cdot-1214frac4-cdot-243-cdot-2224frac4-cdot-343-cdot-3234frac4-cdot-443-cdot-4244ldots-text-is-fracmn-where-m-and-n-are-coprime-then-mathr/</loc>
		<lastmod>2026-03-25T09:43:17+00:00</lastmod>
	</url>
</urlset>
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