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2021 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE Main 2021
Let $f(x)$ be a cubic polynomial with $f(1)=-10, f(-1)=6$, and has a local_minima at $x=1$, and $f^{\prime}(x)$ has a local minima at $x=1$. Then $f(3)$...
JEE Main Mathematics Medium
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Q JEE Main 2021
Let $B$ be the centre of the circle $x^2+y^2-2 x+4 y+1=0$. Let the tangents at two point $P$ and $Q$ on the circle intersect at...
JEE Main Mathematics Easy
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Q JEE Main 2021
If the line $y=m x$ bisects the area enclosed by the lines $x=0, y=0, x=3 / 2$ and the curve $y=1+4 x-x^2$, then $12 m$...
JEE Main Mathematics Easy
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Q JEE Main 2021
The number of elements in the set $\left\{A=\left(\begin{array}{ll}a & b \\ 0 & d\end{array}\right): a, b, d \in\{-1,0,1\}\right.$ and $\left.(I-A)^3=I-A^3\right\}$ where $I$ is $...
JEE Main Mathematics Medium
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Q JEE Main 2021
If $S=\frac{7}{5}+\frac{9}{5^2}+\frac{13}{5^3}+\frac{19}{5^4}+\ldots$, then 160 S is equal to $\_\_\_\_$ .
JEE Main Mathematics Medium
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Q JEE Main 2021
A tangent line L is drawn at the point $(2,-4)$ on the parabola $\mathrm{y}^2=8 \mathrm{x}$. If the line L is also tangent to the circle...
JEE Main Mathematics Easy
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Q JEE Main 2021
If $\int \frac{\sin x}{\sin ^3 x+\cos ^3 x} d x=\alpha \log _e|1+\tan x|+\beta \log _e\left|1-\tan x+\tan ^2 x\right|+\gamma \tan ^{-1}\left(\frac{2 \tan x-1}{\sqrt{3}}\right)+c$, when $c$ is...
JEE Main Mathematics Hard
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Q JEE MAIN 2021
An electric instrument consists of two units. Each unit must function independently for the instrument to operate. The probability that the first unit functions is...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
If $\left(\frac{3^6}{4^4}\right) k$ is the term, independent of x , in the binomial expansion of $\left(\frac{x}{4}-\frac{12}{x^2}\right)^{12}$, then k is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2019
Taking the wavelength of first Balmer line in hydrogen spectrum (n = 3 to n = 2) as 660 nm, the wavelength of the $...
JEE Main Physics Easy
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