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QJEE MAIN 2020
The derivative of $\tan ^{-1}\left(\frac{\sqrt{1+x^2}-1}{x}\right)$ with respect to $\tan ^{-1}\left(\frac{2 x \sqrt{1-x^2}}{1-2 x^2}\right)$ at $x=\frac{1}{2}$ is :
JEE MainMathematicsHard
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QJEE MAIN 2020
The major product of the following reaction is
JEE MainChemistryMedium
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QJEE MAIN 2020
If $\int \frac{\cos \theta}{5+7 \sin \theta-2 \cos ^2 \theta} d \theta=A \log _e|B(\theta)|+C$, where $C$ is a constant of integration, then $\frac{B(\theta)}{A}$ can be :
JEE MainMathematicsMedium
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QJEE MAIN 2020
The correct match between Item-I (starting material) and Item-II (reagent) for the preparation of benzaldehyde is
JEE MainChemistryMedium
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QJEE MAIN 2020
If the line $y=m x+c$ is a common tangent to the hyperbola $\frac{x^2}{100}-\frac{y^2}{64}=1$ and the circle $x^2+y^2=36$, then which one of the following is true...
JEE MainPhysicsEasy
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QJEE MAIN 2020
The major products of the following reaction are
JEE MainChemistryMedium
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QJEE MAIN 2020
A crystal is made up of metal ions $M_1$ and $M_2$ and oxide ions. Oxide ions form a ccp lattice structure. The cation $\mathrm{M}_1$ occupies...
JEE MainChemistryMedium
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QJEE MAIN 2020
If $L=\sin ^2\left(\frac{\pi}{16}\right)-\sin ^2\left(\frac{\pi}{8}\right)$ and
$M=\cos ^2\left(\frac{\pi}{16}\right)-\sin ^2\left(\frac{\pi}{8}\right)$, then
JEE MainMathematicsMedium
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QJEE MAIN 2020
If the system of linear equations $ \begin{aligned} & x+y+3 z=0 \\ & x+3 y+k^2 z=0 \\ & 3 x+y+3 z=0 \end{aligned} $ ...
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