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2020 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2020
The numer of all $3 \times 3$ matrices A , with enteries from the set $\{-1,0,1)$ such that the sum of the diagonal elements of...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
Reaction of an inorganic sulphite X with dilute $\mathrm{H}_2 \mathrm{SO}_4$ generates compound Y . Reaction of Y with NaOH gives $X$. Further, the reaction of...
JEE Main Chemistry Medium
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Q JEE MAIN 2020
The least positive value of ' $a$ ' for which the equation, $2 x^2+(a-10) x+\frac{33}{2}=2 a$ has real roots is $\_\_\_\_$ .
JEE Main Mathematics Easy
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Q JEE MAIN 2020
The sum $\sum_{k=1}^{20}(1+2+3+\ldots . .+k)$ is $\_\_\_\_$ .
JEE Main Mathematics Easy
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Q JEE MAIN 2020
Let the normal at a point $P$ on the curve $y^2-3 x^2+y+10=0$ intersect the $y$-axis at $\left(0, \frac{3}{2}\right)$. If $m$ is the slope of the...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
An urn contains 5 red marbles, 4 black marbles and 3 white marbles. Then the number of ways in which 4 marbles can be drawn...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
Let the line $y=m x$ and the ellipse $2 x^2+y^2=1$ intersect at a point $P$ in the first quadrant. If the normal to this ellipse...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If $\int \frac{\cos x d x}{\sin ^3 x\left(1+\sin ^6 x\right)^{2 / 3}}=f(x)\left(1+\sin ^6 x\right)^{1 / 2}+c$ where $c$ is a constant of integration, then $...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
For $a>0$, let the curves $C_1: y^2=a x$ and $C_2: x^2=$ ay intersect at origin $O$ and a point $P$. Let the line $x=b(0
JEE Main Mathematics Medium
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Q JEE MAIN 2020
The locus of a point which divides the line segment joining the point $(0,-1)$ and a point on the parabola, $x^2=4 y$, internally in the...
JEE Main Mathematics Easy
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