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2020 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2020
In the expansion of $\left(\frac{x}{\cos \theta}+\frac{1}{x \sin \theta}\right)^{16}$, if $l_1$ is the least value of the term independent of x when $...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
Let f(x) be a polynomial of degree 3 such that f(–1) = 10, f(1) = –6, f(x) has a critical point at x = –1,...
JEE Main Mathematics Medium
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Q JEE-MAIN 2020
If the surface area of a cube is increasing at a rate of $3.6 \mathrm{~cm}^2 / \mathrm{sec}$, retaining its shape; then the rate of change...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
The plane which bisects the line joining, the points (4, –2, 3) and (2, 4, –1) at right angles also passes through the point:
JEE Main Mathematics Easy
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Q JEE MAIN 2020
The number of 4 letter words (with or without meaning) that can be formed from the eleven letters of the word ‘EXAMINATION’ is_______.
JEE Main Mathematics Hard
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Q JEE MAIN 2020
If a $\Delta$ABC has vertices A(–1, 7), B(–7, 1) and C(5, –5), then its orthocentre has coordinates
JEE Main Mathematics Easy
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Q JEE MAIN 2020
If $\frac{\sqrt{2} \sin \alpha}{\sqrt{1+\cos 2 \alpha}}=\frac{1}{7}$ and $\sqrt{\frac{1-\cos 2 \beta}{2}}=\frac{1}{\sqrt{10}}, \alpha, \beta, \in\left(0, \frac{\pi}{2}\right)$, then $\tan (\alpha+2 \beta)$ is equal to
JEE Main Mathematics Hard
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Q JEE MAIN 2020
Let $f:(1,3) \rightarrow R$ be a function defined by $f(x)=\frac{x[x]}{1+x^2}$, where $[x]$ denotes the greatest integer $\leq x$. Then the range of $f$ is
JEE Main Mathematics Medium
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Q JEE-MAIN 2020
Let $x i(1 \leq i \leq 10)$ be ten observations of a random variable $X$. If $\sum_{i=1}^{10}\left(x_i-p\right)=3$ and $\sum_{i=1}^{10}\left(x_i-p\right)^2=9$ where $...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
Let $\mathrm{a}_{\mathrm{n}}$ be the $\mathrm{n}^{\text {th }}$ term of a G.P. of positive terms. If $\sum_{n=1}^{100} a_{2 n+1}=200$ and $\sum_{n=1}^{100} a_{2 n}=100$, then $...
JEE Main Mathematics Easy
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