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2021 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2021
The function $f(x)=\left|x^2-2 x-3\right| . e^{\left|9 x^2-12 x+4\right|}$ is not differentiable at exactly:
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Let $\vec{a}$ and $\vec{b}$ be two vectors such that $|2 \vec{a}+3 \vec{b}|=|3 \vec{a}+\vec{b}|$ and the angle between $\vec{a}$ and $\vec{b}$ is $60^{\circ}$. If $\frac{1}{8} \vec{a}$...
JEE Main Mathematics Easy
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Q JEE Main 2021
Negation of the statement $(p \vee r) \Rightarrow(q \vee r)$ is :
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Let f be a non - negative function in $[0,1]$ and twice differentiable in $(0,1)$. If $\int_0^x \sqrt{1-\left(f^{\prime}(t)\right)^2} d t=\int_0^x f$, $...
JEE Main Mathematics Medium
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Q JEE Main 2021
The distance of the point $(-1,2,-2)$ from the line of intersection of the planes $2 x+3 y+2 z=0$ and $x-2 y+z =0$ is :
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let the equation of the plane, that passes through the point $(1,4,-3)$ and contains the line of intersection of the planes $3 x-2 y+4 z-7=0$...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
The sum of 10 terms of the series $\frac{3}{1^2 \times 2^2}+\frac{5}{2^2 \times 3^2}+\frac{7}{3^2 \times 4^2}+\ldots$ is :
JEE Main Mathematics Medium
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Q JEE Main 2021
Let $f: N \rightarrow N$ be a function such that $f(m+n)=f(m)+f(n)$ for every $m, n \in N$. If $f(6)=18$, then $f(2)$. $f(3)$ is equal to...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
The number of real roots of the equation $\mathrm{e}^{4 \mathrm{x}}+2 \mathrm{e}^{3 \mathrm{x}}-\mathrm{e}^{\mathrm{x}}-6=0$ is :
JEE Main Mathematics Hard
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Q JEE Main 2021
Let $S=\{1,2,3,4,5,6\}$. Then the probability that a randomly chosen onto function $g$ from $S$ to $S$ satisfies $g(3) =2 g(1)$ is :
JEE Main Mathematics Medium
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