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2020 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2020
If the point $P$ on the curve, $4 x^2+5 y^2=20$ is farthest from the point $\mathrm{Q}(0,-4)$, then $\mathrm{PQ}^2$ is equal to :
JEE Main Mathematics Easy
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Q JEE MAIN 2020
The product of the roots of the equation $9 x^2-18 |x|+5=0$, is :
JEE Main Mathematics Easy
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Q JEE MAIN 2020
If $2^{10}+2^9 \cdot 3^1+2^8 \cdot 3^2+\ldots .+2 \cdot 3^9+3^{10}=S-2^{11}$, then $S$ is equal to:
JEE Main Mathematics Easy
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Q JEE MAIN 2020
A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of them,...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If the minimum and the maximum values of the function $f: f:\left[\frac{\pi}{4}, \frac{\pi}{2}\right] \rightarrow R$, defined by $$ f(\theta)=\left|\begin{array}{ccc} -\sin ^2 \theta & -1-\sin ^2...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If $\alpha$ is the positive root of the equation, $p(x)=x^2-x -2=0$, then $\lim _{x \rightarrow \alpha^{+}} \frac{\sqrt{1-\cos (p(x))}}{x+\alpha-4}$ is equal to :
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If the four complex numbers $z, \bar{z}, \bar{z}-2 \operatorname{Re}(\bar{z})$ and $z-2 \operatorname{Re}(z)$ represent the vertices of a square of side 4 units in the Argand...
JEE Main Mathematics Hard
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Q JEE MAIN 2020
The mean and variance of 7 observations are 8 and 16, respectively. If five observations are 2, 4, 10, 12, 14, then the absolute difference...
JEE Main Mathematics Hard
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Q JEE MAIN 2020
If $3^{2 \sin 2 \alpha-1}, 14$ and $3^{4-2 \sin 2 \alpha}$ are the first three terms of an A.P. for some $\alpha$, then the sixth...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If $(a, b, c)$ is the image of the point $(1,2,-3)$ in the line, $\frac{x+1}{2}=\frac{y-2}{-2}=\frac{z}{-1}$, then $a+b+c$ is equal to :
JEE Main Mathematics Easy
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