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2021 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE Main 2021
If a line along a chord of the circle $4 x^2+4 y^2+120 x+675=0$, passes through the point $(-30,0)$ and is tangent to the parabola $...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
If $\int \frac{d x}{\left(x^2+x+1\right)^2}=a \tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)+b\left(\frac{2 x+1}{x^2+x+1}\right)+C, x>0$ where $C$ is the constant of integration, then the value of $9(\sqrt{3} a+b)$ is equal to...
JEE Main Mathematics Medium
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Q JEE Main 2021
Let $\vec{a}=\hat{i}+\hat{j}+\hat{k}$ and $\vec{b}=\hat{j}-\hat{k}$. If $\vec{c}$ is a vector-such that $\vec{a} \times \vec{c}=\vec{b}$ and $\vec{a} \cdot \vec{c}=3$, then $\vec{a} \cdot(\vec{b} \times \vec{c})$ is equal to:
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Which among the following is not a polyester ?
JEE Main Chemistry Easy
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Q JEE MAIN 2021
Which one of the following is the major product of the given reaction?
JEE Main Chemistry Easy
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Q JEE MAIN_2021_
Let $M$ and $m$ respectively be the maximum and minimum values of the function $f(x)=\tan ^{-1}(\sin x+\cos x)$ in $\left[0, \frac{\pi}{2}\right]$, Then the value of...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
Which one of the following statements is incorrect ?
JEE Main Chemistry Medium
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Q JEE MAIN_2021_
Let $A=\left(\begin{array}{ccc}{[x+1]} & {[x+2]} & {[x+3]} \\ {[x]} & {[x+3]} & {[x+3]} \\ {[x]} & {[x+2]} & {[x+4]}\end{array}\right)$, where $[t]$ denotes the greatest integer less...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
The incorrect statement is:
JEE Main Chemistry Medium
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Q JEE MAIN 2021
Given below are two statements.
Statement I: Frenkel defects are vacancy as well as interstitial defects.
Statement II: Frenkel defect leads to colour...
JEE Main Chemistry Easy
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