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QJEE MAIN 2024
If $...
JEE MainMathematicsEasy
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QJEE MAIN
If $\frac{{ }^{11} \mathrm{C}_1}{2}+\frac{{ }^{11} \mathrm{C}_2}{3}+\cdots \cdot+\frac{{ }^{11} \mathrm{C}_9}{10}=\frac{\mathrm{n}}{\mathrm{m}}$ with $\operatorname{gcd}(\mathrm{n}, \mathrm{m})=1$, then n+m is equal to
JEE MainMathematicsEasy
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QJEE MAIN 2024
Let $g(x)$ be a linear function and $f(x)=\left\{\begin{array}{ll}g(x) & , x \leq 0 \\ \left(\frac{1+x}{2+x}\right)^{\frac{1}{x}} & , x>0\end{array}\right.$, is continuous at $x=0$. If $f^{\prime}(1)=f(-1)$, then...
JEE MainMathematicsHard
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QJEE-Main 2024
If $5 f(x)+4 f\left(\frac{1}{x}\right)=x^2-2, \forall x \neq 0$ and $y=9 x^2 f(x)$, then y is strictly increasing in :
JEE MainMathematicsEasy
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QJEE MAIN 2024
An infinite plane sheet of charge having uniform surface charge density $+\sigma_3 \mathrm{C} / \mathrm{m}^2$ is placed on $\mathrm{x}-\mathrm{y}$ plane. Another infinitely long line charge...
JEE MainPhysicsHard
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QJEE MAIN 2024
Time periods of oscillation of the same simple pendulum measured using four different measuring clocks were recorded as 4.62s,4.632s,4.6s and 4.64s. The arithmetic mean of...
JEE MainPhysicsMedium
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QJEE MAIN
Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle θ with each other. When suspended in water the...
JEE MainPhysicsHard
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QJEE MAIN
The area (in sq. units) of the part of circle $x^2+y^2=169$ which is below the line 5x-y=13 is $\frac{\pi \alpha}{2 \beta}-\frac{65}{2}+$$\frac{\alpha}{\beta} \sin ^{-1}\left(\frac{12}{13}\right)$ where 𝛼,𝛽...
JEE MainMathematicsMedium
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QJEE MAIN
The distance between object and its 3 times magnified virtual image as produced by a convex lens is 20" " cm. The focal length of...
JEE MainPhysicsEasy
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QJEE MAIN 2024
A body of mass 50kg is lifted to a height of 20m from the ground in the two different ways as shown in the figures....
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