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2020 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2020
An electron is constrained to move along the $y$-axis with a speed of 0.1 c ( c is the speed of light) in the presence...
JEE Main Physics Hard
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Q JEE MAIN 2020
A bullet of mass 5 g , travelling with a speed of 210 $\mathrm{m} / \mathrm{s}$, strikes a fixed wooden target. One half of its...
JEE Main Physics Medium
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Q JEE MAIN 2020
An electrical power line, having a total resistance of $2 \Omega$, delivers 1 kW at 220 V . The efficiency of the transmission line is...
JEE Main Physics Easy
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Q JEE MAIN 2020
If the equation of a plane P , passing through the intersection of the planes $x+4 y-z+7=0$ and $3 x +y+5 z=8$ is $...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
$\left(2 x^2+3 x+4\right)^{10}=\sum_{r=10}^{20} a_r x^r$. Then $\frac{a_7}{a_{13}}$ is equal to $\_\_\_\_$ .
JEE Main Mathematics Hard
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Q JEE MAIN 2020
Suppose a differentiable function $f(x)$ satisfies the identity $f(x+y)=f(x)+f(y)+x y^2+x^2 y$, for all real $x$ and $y . \lim _{x \rightarrow 0} \frac{f(x)}{x}=1$, If then...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If the system of equations $$ \begin{aligned} & x-2 y+3 z=9 \\ & 2 x+y+z=b \end{aligned} $$ $x-7 y+a z=24$, has infinitely many solutions, then...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
The probability of a man hitting a target is $\frac{1}{10}$. The least number of shots required, so that the probability of his hitting the target...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
Let $[\mathrm{t}]$ denote the greatest integer $\leq \mathrm{t}$. Then the equation in $x,[x]^2+2[x+2]-7=0$ has :
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If $(a+\sqrt{2} b \cos x)(a-\sqrt{2 b} \cos y)=a^2-b^2$, where $a >\mathrm{b}>0$, then $\frac{\mathrm{dx}}{\mathrm{dy}} \mathrm{at}\left(\frac{\pi}{4}, \frac{\pi}{4}\right)$ is :
JEE Main Mathematics Medium
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