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QJEE MAIN_2021
A ray of light AO in vacuum is incident on a glass slab at angle $60^{\circ}$ and refracted at angle $30^{\circ}$ along OB as shown...
JEE MainPhysicsEasy
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QJEE MAIN_2021_
Two coaxial discs, having moments of inertia $I_1$ and $\frac{1}{2}$, are rotating with respective angular velocities $\omega_1$ and $\frac{\omega_1}{2}$ about their common axis. They are...
JEE MainPhysicsEasy
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Q JEE MAIN_2021_
If $\lim _{x \rightarrow \infty}\left(\sqrt{x^2-x+1}-a x\right)=b$, then the ordered pair $(a b)$ is :
JEE MainMathematicsEasy
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QJEE MAIN_2021_
The value of the inkegral $\int_0^1 \frac{\sqrt{x} d x}{(1+x)(1+3 x)(3+x)}$ is :
JEE MainMathematicsMedium
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Q JEE MAIN_2021_
If $0
JEE MainMathematicsEasy
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QJEE MAIN_2021_
Two poles, $A B$ of length a metres and $C D$ of length $a+b(b \neq a)$ metres are erected at the same horizontal level with...
JEE MainMathematicsEasy
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Q JEE MAIN_2021_
If $y(x)=\cot ^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right), x \in\left(\frac{\pi}{2}, \pi\right)$, then $\frac{d y}{d x}$ at $x=\frac{5 \pi}{6}$ is :
JEE MainMathematicsMedium
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QJEE MAIN_2021_
The area of the region bounded by the parabola $(y-2)^2=(x-1)$, the tangent to it at the point whose ordinate is 3 and the $x$-axis is
JEE MainMathematicsMedium
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Q JEE MAIN_2021_
Let $\mathbb{N}$ be the set of all integers, $$ \begin{aligned} & A=\left\{(x, y) \in \mathbb{Z} \times \mathbb{Z}:(x-2)^2+y^2 \leq 4\right\} \\ & B=\left\{(x, y) \in \mathbb{Z}...
JEE MainChemistryEasy
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Q JEE MAIN_2021_
The Boolean expression $(p \wedge q) \Rightarrow((r \wedge q) \wedge p)$ is equivalent to $i$
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