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2022 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2022
Let $\vec{a}=\alpha \hat{i}+2 \hat{j}-\hat{k}$ and $\vec{b}=-2 \hat{i}+\alpha \hat{j}+\hat{k}$, where $a \in \mathbf{R}$. If the area of the parallelogram whose adjacent sides are represented by the...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Let $S=\{z \in \mathbb{C}:|z-3| \leq$ and $z(4+3 i)+\bar{z}(4-3 i) \leq 24\}$. if $\alpha+\mathrm{i} \beta$ is the point in S which is closest to 4i, then...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Let $\mathrm{A}=\left(\begin{array}{cc}2 & -1 \\ 0 & 2\end{array}\right)$. If $\mathrm{B}=1-{ }^5 \mathrm{C}_1(\operatorname{adj} \mathrm{~A})+{ }^5 \mathrm{C}_2(\operatorname{adj} \mathrm{~A})^2-\ldots \ldots-{ }^5 \mathrm{C}_5(\operatorname{adj} \mathrm{~A})^5$, then the sum of all...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let $r \in\{p, q, \sim p, \sim q\}$ be such that the logical statement $r \vee(-p) \Rightarrow(p \wedge q) \vee r$ is a tautology. Then...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Let $\mathrm{a}>0, \mathrm{~b}>0$. Let e and $\ell$ respectively be the eccentricity and length of the latus rectum of the hyperbola $\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$. Let $e^{\prime}$ and $\ell$...
JEE Main Mathematics Hard
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Q JEE MAIN 2022
Let $\arg (z)$ represent the principal argument of the complex number $z$. The, $|z|=3$ and $\arg (z-1)-\arg (z+1) =\frac{\pi}{4}$ intersect:
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let a triangle be bounded by the lines $L_{1 i} 2 x+5 y=10 ; L_{2 i}-4 x+3 y=12$ and the line $L_3$, which passes through...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let $\alpha$ be a root of the equation $1+x^2+x^4=0$. Then the value of $\alpha^{1011}+\alpha^{2022}-\alpha^{3033}$ is equal to:
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : The first ionization...
JEE Main Chemistry Easy
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Q JEE MAIN 2022
Let the slope of the tangent to a curve $y=f(x)$ at $(x, y)$ be given by $2 \tan (\cos x-y)$. if the curve passes through...
JEE Main Mathematics Medium
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