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2020 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

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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Q JEE MAIN 2020
The position of a moving car at time $t$ is given by $f(t)=a t^2+b t+c, t>0$, where $a, b$ and $c$ are real numbers greater...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
Which of the following points lies on the locus of the foot of perpendicular drawn upon any tangent to the ellipse, $\frac{x^2}{4}+\frac{y^2}{2}=1$ from any of...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
Consider the data on $x$ taking the values $0,2,4,8$, $\ldots, 2^n$ with frequencies ${ }^n C_0,{ }^n C_1,{ }^n C_2, \ldots,{ }^n C_n$ respectively. If...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If the common tangent to the parabolas, $y^2=4 x$ and $x^2=4 y$ also touches the circle, $x^2+y^2=c^2$, then c is equal to:
JEE Main Mathematics Medium
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