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2022 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2022
Let the foot of the perpendicular from the point $(1,2,4)$ on the line $\frac{x+2}{4}=\frac{y-1}{2}=\frac{z+1}{3}$ be $P$. Then the distance of $P$ from the plane $...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Let $\vec{a}$ be a vector which is perpendicular to the vector $3 \hat{i}+\frac{1}{2} \hat{j}+2 \hat{k}$. If $\vec{a} \times(2 \hat{i}+\hat{k})=2 \hat{i}-13 \hat{j}-4 \hat{k}$, then the projection...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
From the base of a pole of height 20 meter, the angle of elevation of the top of a tower is 60°. The pole subtends...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
The reagent, from the following, which converts benzoic acid to benzaldehyde in one step is
JEE Main Chemistry Easy
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Q JEE MAIN 2022
Among the following basic oxide is :
JEE Main Chemistry Easy
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Q JEE MAIN 2022
The set of values of $k$ for which the circle $C: 4 x^2+4 y^2-12 x+8 y+k=0$ lies inside the fourth quadrant and the point $\left(1,-\frac{1}{3}\right)$...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
The remainder on dividing $1+3+3^2+3^3+\ldots+3^{2021}$ by 50 is $\_\_\_\_$
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The value of $\lim _{n \rightarrow \infty} 6 \tan \left\{\sum_{r=1}^n \tan ^{-1}\left(\frac{1}{r^2+3 r+3}\right)\right\}$
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The number of values of $a \in \mathbb{N}$ such that the variance of $3,7,12 a, 43-a$ is a natural number is:
JEE Main Mathematics Easy
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Q JEE MAIN 2022
The sum of all the elements of the set $\{\alpha \in\{1,2, \ldots, 100\}: \operatorname{HCF}(\alpha, 24)=1\}$ is $\_\_\_\_$
JEE Main Mathematics Hard
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