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2021 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN_2021_
A box open from top is made from a rectangular sheet of dimension a × b by cutting squares each of side x from each...
JEE Main Mathematics Medium
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Q JEE MAIN_2021
The set of all values of $k>-1$, for which the equation $\left(3 x^2+4 x+3\right)^2-(k+1)\left(3 x^2+4 x+3\right)\left(3 x^2+4 x+2\right)+ k\left(3 x^2+4 x+2\right)^2=0$ has real roots, is...
JEE Main Mathematics Hard
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Q JEE MAIN_2021_
Let [ $\lambda$ ] be the greatest integer less than or equal to $\lambda$. The set of all values of $\lambda$ for which the system...
JEE Main Mathematics Medium
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Q JEE MAIN_2021_
Let $A(a, 0), B(b, 2 b+1)$ and $C(0, b), b \neq 0,|b| \neq 1$, be points such that the area of triangle $A B C$...
JEE Main Mathematics Easy
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Q JEE MAIN_2021_
If the solution curve of the differential equation $\left(2 x-10 y^3\right) d y+y d x=0$, passes through the points $(0,1)$ and $(2, \beta)$, then $b$...
JEE Main Mathematics Easy
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Q JEE MAIN_2021_
The equation of the plane passing through the line of intersection of the planes $\vec{r} \cdot(\hat{i}+\hat{j}+\hat{k})=1$ and $\overrightarrow{\mathrm{r}} \cdot(2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-\hat{\mathrm{k}})+4=0$ and parallel to the...
JEE Main Mathematics Medium
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Q JEE MAIN_2021
If two tangents drawn from a point $P$ to the parabola $y^2=16(x-3)$ are at right angles, then the locus of point $P$ is:
JEE Main Mathematics Medium
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Q JEE MAIN_2021_
A differential equation representing the family of parabolas with axis parallel to y-axis and whose length of latus rectum is the distance of the point...
JEE Main Chemistry Medium
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Q JEE MAIN_2021_
Each of the persons A and B independently tosses three fair coins. The probability that both of them get the same number of heads is:
JEE Main Mathematics Medium
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Q JEE MAIN 2020
If the system of equations
$$ \begin{aligned} & x+y+z=2 \\ & 2 x+4 y-z=6 \\ & 3 x+2 y+\lambda z=\mu \end{aligned} $$ has infinitely many...
JEE Main Mathematics Easy
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