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2020 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2020
Let A and B be two events such that the probability that exactly one of them occurs is $\frac{2}{5}$ and the probability that $A$ or...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
Let $\alpha=\frac{-1+\mathrm{i} \sqrt{3}}{2}$. If $\mathrm{a}=(1+\alpha) \sum_{\mathrm{k}=0}^{100} \alpha^{2 \mathrm{k}}$ and $\mathrm{b}=\sum_{\mathrm{k}=0}^{100} \alpha^{3 \mathrm{k}}$, then a and b are the roots of the quadratic equation
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If a line, y=m x+c is a tangent to the circle $\ldots(x-3)^2+y^2=1$ and it is perpendicular to a line $L_1$, where $L_1$ is the tangent...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If $\alpha$ and $\beta$ be the coefficients of $x^4$ and $x^2$ respectively in the expansion of $\left(x+\sqrt{x^2-1}\right)^6+\left(x-\sqrt{x^2-1}\right)^6$, then
JEE Main Mathematics Medium
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Q JEE MAIN 2020
The mean and variance of 20 observations are found to be 10 and 4, respectively. On rechecking, it was found that an observation 9 was...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
Let S be the set of all real roots of the equation, $3^x\left(3^x-1\right)+2=\left|3^x-1\right|+\left|3^x-2\right|$. Then $S$
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If the $10^{\text {th }}$ term of an A.P. is $\frac{1}{20}$ and its $20^{\text {th }}$ term is $\frac{1}{10}$, then the sum of its first...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
$\lim _{x \rightarrow 0} \frac{\int_0^x t \sin (10 t) d t}{x}$ is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2020
At 300 K, the vapour pressure of a solution containing 1 mole of n-hexane and 3 moles of n-heptane is 550 mm of Hg. At...
JEE Main Chemistry Easy
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Q JEE MAIN 2020
If 75% of a first order reaction was completed in 90 minutes, 60% of the same reaction would be completed in approximately (in minutes)_______.
JEE Main Chemistry Hard
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