2021 JEE PYQ

Q JEE Main 2021

Let $f(x)=\cos \left(2 \tan ^{-1} \sin \left(\cos ^{-1} \sqrt{\frac{1-x}{x}}\right)\right) .0

JEE Main Mathematics Medium

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Q JEE MAIN 2021

Let the mean and variance of four numbers $3,7, x$ and $y(x>y)$ be 5 and 10 respectively. Then the mean of four numbers $...

JEE Main Mathematics Easy

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Q JEE MAIN_2021_

Let $S=\{1,2,3,4,5,6,9\}$. Then the number of elements in the set $T=\{A \subseteq S ; A \neq f$ and the sum of all the elements of...

JEE Main Mathematics Easy

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Q JEE MAIN 2021

Let $\lambda \neq 0$ be in R . If $\alpha$ and $\beta$ are the roots of the equation $\mathrm{x}^2-\mathrm{x}+2 \lambda=0$, and $\alpha$ and $\gamma$ are...

JEE Main Mathematics Medium

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Q JEE Main 2021

Let $\theta \in\left(0, \frac{\pi}{2}\right)$. If the system of linear equations $$ \begin{aligned} & \left(1+\cos ^2 \theta\right) x+\sin ^2 \theta y+4 \sin 3 \theta z=0 \\...

JEE Main Mathematics Medium

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Q JEE MAIN 2021

Let $\binom{n}{k}$ denotes ${ }^n C_k$ and $...

JEE Main Mathematics Hard

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Q JEE MAIN_2021_

Let $\mathrm{A}(\sec \theta, 2 \tan \theta)$ and $\mathrm{B}(\sec \phi, 2 \tan \phi)$, where $\theta+\phi=\pi / 2$, be two points on the hyperbola $2 \mathrm{x}^2-\mathrm{y}^2=2$. If...

JEE Main Mathematics Medium

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Q JEE MAIN 2021

$$ \text { Spin only magnetic moment in } \mathrm{BM} \text { of }\left[\mathrm{Fe}(\mathrm{CO})_4\left(\mathrm{C}_2 \mathrm{O}_4\right)\right]^{+} \text {is : } $$

JEE Main Chemistry Easy

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Q JEE MAIN_2021_

Two circles each of radius 5 units touch each other at the point $(1,2)$. If the equation of their common tangent is $4 \mathrm{x}+3 \mathrm{y}=10$,...

JEE Main Mathematics Easy

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