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QJEE MAIN 2024
Let $\vec{a}=3 \hat{\imath}+\hat{\jmath}-2 \hat{k}, \vec{b}=4 \hat{\imath}+\hat{\jmath}+7 \hat{k}$ and $\overrightarrow{\mathrm{c}}=\hat{\imath}-3 \hat{\jmath}+4 \hat{k}$ be three vectors. If a vectors $\overrightarrow{\mathrm{p}}$ satisfies $\overrightarrow{\mathrm{p}} \times \overrightarrow{\mathrm{b}}= \overrightarrow{\mathrm{c}} \times \overrightarrow{\mathrm{b}}$...
JEE MainMathematicsEasy
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QJEE MAIN
Equation of two diameters of a circle are 2x-3y=5 and 3x-4y=7. The line joining the points $\left(-\frac{22}{7},-4\right)$ and $\left(-\frac{1}{7}, 3\right)$ intersects the circle at only...
JEE MainMathematicsEasy
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QJEE MAIN 2024
To measure the internal resistance of a battery, potentiometer is used. For $\mathrm{R}=10 \Omega$, the balance point is observed at $\ell=500 \mathrm{~cm}$ and for $...
JEE MainPhysicsHard
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QJEE MAIN 2024
An electron rotates in a circle around a nucleus having positive charge Ze. Correct relation between total energy (E) of electron to its potential energy...
JEE MainPhysicsMedium
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QJEE MAIN 2024
If the domain of the function f(x)=cos^(-1)((2-|x|)/4)+(log_e(3-x))^(-1) is [-α,β)-{y}, then α+β+γ is equal to :
JEE MainMathematicsMedium
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QJEE-Main 2024
For $0<\theta<\pi / 2$, if the eccentricity of the hyperbola $x^2-y^2 \operatorname{cosec}^2 \theta=5$ is $\sqrt{7}$ times eccentricity of the ellipse $x^2 \operatorname{cosec}^2 \theta+y^2=5$, then the...
JEE MainMathematicsEasy
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QJEE MAIN
A particle moving in a circle of radius R with uniform speed takes time T to complete one revolution. If this particle is projected with...
JEE MainPhysicsMedium
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QJEE MAIN
Let A be a square matrix such that $A A^T=I$. Then $\frac{1}{2} A\left[\left(A+A^T\right)^2+\left(A-A^T\right)^2\right]$ is equal to
JEE MainMathematicsMedium
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QJEE MAIN 2024
Let $y=y(x)$ be the solution of the differential equation $\frac{d y}{d x}=\frac{(\tan x)+y}{\sin x(\sec x-\sin x \tan x)}, \mathrm{x} \in\left(0, \frac{\pi}{2}\right)$ satisfying the condition $\mathrm{y}\left(\frac{\pi}{4}\right)=2$....
JEE MainMathematicsHard
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QJEE MAIN 2024
A body travels 102.5 m in $\mathrm{n}^{\text {th }}$ second and 115.0 m in $(\mathrm{n}+2)^{\text {th }}$ second. The acceleration is
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