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2020 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2020
If S is the sum of the first 10 terms of the series
$\tan ^{-1}\left(\frac{1}{3}\right)+\tan ^{-1}\left(\frac{1}{7}\right)+\tan ^{-1}\left(\frac{1}{13}\right)+\tan ^{-1}\left(\frac{1}{21}\right)+\ldots \ldots$
then tan(S) is equal to :
JEE Main Mathematics Medium
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Q JEE MAIN 2020
The value of $\int_{-\pi / 2}^{\pi / 2} \frac{1}{1+\mathrm{e}^{\sin x}} \mathrm{dx}$ is:
JEE Main Mathematics Easy
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Q JEE MAIN 2020
Let $A D$ and $B C$ be two vertical poles at $A$ and $B$ respectively on a horizontal ground. If $...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
If $y=y(x)$ is the solution of the differential equation $\frac{5+\mathrm{e}^{\mathrm{x}}}{2+\mathrm{y}} \cdot \frac{\mathrm{dy}}{\mathrm{dx}}+\mathrm{e}^{\mathrm{x}}=0$ satisfying $\mathrm{y}(0)=1$, then a value of $y\left(\log _e 13\right)$ is :
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If $\vec{a}$ and $\vec{b}$ are unit vectors, then the greatest value of $\sqrt{3}|\vec{a}+\vec{b}|+|\vec{a}-\vec{b}|$ is
JEE Main Mathematics Easy
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Q JEE MAIN 2020
The angle of elevation of the top of a hill from a point on the horizontal plane passing through the foot of the hill is...
JEE Main Mathematics Hard
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Q JEE MAIN 2020
Set A has m elements and Set B has n elements. If the total number of subsets of A is 112 more than the total...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
If $\alpha$ and $\beta$ be two roots of the equation $x^2-64 x+256=0$. Then the value of $\left(\frac{\alpha^3}{\beta^5}\right)^{1 / 8}+\left(\frac{\beta^3}{\alpha^5}\right)^{1 / 8}$ is :
JEE Main Mathematics Medium
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Q JEE MAIN 2020
Let $a, b, c, d$ and $p$ be any non zero distinct real numbers such that $\left(a^2+b^2+c^2\right) p^2-2(a b+b c+c d) p+\left(b^2+c^2+d^2\right)=0$. Then :
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If $\sum_{i=1}^n\left(x_i-a\right)=n$ and $\sum_{i=1}^n\left(x_i-a\right)^2=n a,(n, a>1)$ then the standard deviation of $n$ observations $x_1, x_2, \ldots, x_n$ is :
JEE Main Mathematics Easy
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