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2021 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2021
If $y=y(x)$ is the solution curve of the differential equation $x^2 d y+\left(y-\frac{1}{x}\right) d x=0 ; x>0$ and $y(1)=1$, then $\left(\frac{1}{2}\right)$ is equal to :
JEE Main Mathematics Hard
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Q JEE MAIN_2021
Let $M=\left\{A=\left(\begin{array}{ll}a & b \\ c & d\end{array}\right): a, b, c, d \in\{ \pm 3, \pm 2, \pm 1,0\}\right\}$ Difine : $f: M \rightarrow Z$,...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Value of KP for the equilibrium reaction $\mathrm{N}_2 \mathrm{O}_4(\mathrm{~g}) \rightleftharpoons 2 \mathrm{NO}_{2(\mathrm{~g})}$ at 288 K is 47.9. The $\mathrm{K}_{\mathrm{C}}$ for this reaction at same temperature...
JEE Main Chemistry Easy
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Q JEE MAIN 2021
Two squares are chosen at random on a chessboard (see figure). The probability that they have a side in common is :
JEE Main Mathematics Medium
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Q JEE MAIN_2021
The ratio of the coefficient of the middle term in the expansion of $(1+x)^{20}$ and the sum of the coefficients of two middle terms in...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Assume a cell with the following reaction
$\mathrm{Cu}_{(\mathrm{s})}+2 \mathrm{Ag}^{+}\left(1 \times 10^{-3} \mathrm{M}\right) \rightarrow \mathrm{Cu}^{2+}(0.250 \mathrm{M})+2 \mathrm{Ag}_{(\mathrm{s})}$
$\mathrm{E}_{\mathrm{cell}}^{\ominus}=2.97 \mathrm{~V}$
$E_{\text {cell }}$ for...
JEE Main Chemistry Easy
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Q _JEE MAIN_2021
Let $\vec{p}=2 \hat{i}+3 \hat{j}+\hat{k}$ and $\vec{q}=\hat{i}+2 \hat{j}+\hat{k}$ be two vectors. If a vector $\vec{r}=(\alpha \hat{i}+\beta \hat{j}+\gamma \hat{k})$ is perpendicular to each of the vectors $(\bar{p}+\bar{q})$...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Which of the following is equivalent to the Boolean expression $\mathrm{p} \wedge \sim \mathrm{q}$ ?
JEE Main Mathematics Easy
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Q JEE MAIN_2021
Consider the following frequency distribution
JEE Main Mathematics Medium
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Q JEE MAIN_2021
If the value of $\left(1+\frac{2}{3}+\frac{6}{3^2}+\frac{10}{3^3}+\ldots . \text { upto } \infty\right)^{\log _{1008}\left(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^2}+\ldots \text { uptoss }\right)}$ is $l$, then $l^2$ is equal to $\_\_\_\_$ .
JEE Main Mathematics Medium
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