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2021 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE Main 2021
If ${ }^1 \mathrm{P}_1+2 \cdot{ }^2 \mathrm{P}_2+3 \cdot{ }^3 \mathrm{P}_3+\ldots+15 \cdot{ }^{15} \mathrm{P}_{15}={ }^9 \mathrm{P}_{\mathrm{r}}-\mathrm{s}, 0 \leq \mathrm{s} \leq 1$, then ${ }^{\mathrm{q}+\mathrm{s}} \mathrm{C}_{\mathrm{r}-\mathrm{s}}$ is...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
JEE Main Mathematics Easy
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Q JEE Main 2021
Let the line $L$ be the projection of the line $\frac{x-1}{2}=\frac{y-3}{1}=\frac{z-4}{2}$ in the plane $x-2 y-z=3$. If $d$ is the distance of the point $(0,0,6)$...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
The major product of the following reaction, if it occurs by $\mathrm{SN}_2$ mechanism is
JEE Main Chemistry Easy
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Q JEE MAIN 2021
1.22 g of an organic acid is separately dissolved in 100 g of benzene $\left(\mathrm{K}_{\mathrm{b}}=2.6 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right)$ and 100 g of acetone $...
JEE Main Chemistry Easy
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Q JEE Main 2021
The sum of all integral values of $k(k \neq 0)$ for which the equation $\frac{2}{x-1}-\frac{1}{x-2}=\frac{2}{k}$ in $x$ has no real roots, is
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let A be a fixed point (0, 6) and B be a moving point (2t, 0), Let M be the mid-point of AB and the...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Lyophilic sols are more stable than lyophobic sols because
JEE Main Chemistry Easy
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Q JEE MAIN 2021
$\mathrm{CH}_4$ is adsorbed on 1 g charcoal at $0^{\circ} \mathrm{C}$ following the Freundlich adsorption isotherm. 10.0 mL of $\mathrm{CH}_4$ is adsorbed at 100 mm of...
JEE Main Chemistry Easy
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Q JEE MAIN 2021
If for $x, y \in R, x>0$, $y=\log _{10} x+\log _{10} x^{1 / 3}+\log _{10} x^{1 / 9}+\ldots \ldots$ upto $\infty$ terms and $...
JEE Main Mathematics Easy
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