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2022 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2022
If $y=y(x)$ is the solution of the differential equation $\left(1+e^{2 x}\right) \frac{d y}{d x}+2\left(1+y^2\right) e^x=0$ and $y(0)=0$, then $6\left(y^{\prime}(0)+\left(y\left(\log _e \sqrt{3}\right)\right)^2\right)$ is equal to:
JEE Main Mathematics Easy
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Q JEE MAIN 2022
If $\int_0^2\left(\sqrt{2 x}-\sqrt{2 x-x^2}\right) d x=\int_0^1\left(1-\sqrt{1-y^2}-\frac{y^2}{2}\right) d y+\int_1^2\left(2-\frac{y^2}{2}\right) d y+1$
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Let $f$ be a real valued continuous function on $[0,1]$ and $f(x)=x+\int_0^1(x-t) f(t) d t$. Then which of the following points $(\mathrm{x}, \mathrm{y})$ lies on...
JEE Main Mathematics Hard
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Q JEE MAIN 2022
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function defined by $f(x)=(x-3)^{n_1}(x-5)^{n_2}, n_1, n_2 \in N$. The, which of the following is NOT true?
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Halogenation of which one of the following will yield m-substituted product with respect to methyl group as a major product?
JEE Main Chemistry Easy
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Q JEE MAIN 2022
The value of $\lim _{x \rightarrow 1} \frac{\left(x^2-1\right) \sin ^2(\pi x)}{x^4-2 x^3+2 x-1}$ is equal to:
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let $\mathrm{S}=\left\{\left(\begin{array}{cc}-1 & \mathrm{a} \\ 0 & \mathrm{~b}\end{array}\right) ; \mathrm{a}, \mathrm{b} \in\{1,2,3, \ldots 100\}\right\}$ and let $\mathrm{T}_{\mathrm{n}}=\left\{\mathrm{A} \in \mathrm{S}: \mathrm{A}^{\mathrm{n}(\mathrm{n}+1)}=\mathrm{I}\right\}$. Then the number of elements...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
The sum of the infinite series $1+\frac{5}{6}+\frac{12}{6^2}+\frac{22}{6^3}+\frac{35}{6^4}+\frac{51}{6^5}+\frac{70}{6^6}+\ldots .$. is equal to :
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Let $f: \mathbb{R} \rightarrow \mathbb{R}$ satisfy $f(x+y)=2 x f(y)+4 y f(x), \forall x, y \in \mathbb{R}$. If $f(2)=3$, then 14 . $\frac{f^{\prime}(4)}{f^{\prime}(2)}$ is equal to...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Hydrogen has three isotopes : protium $\left({ }^1 \mathrm{H}\right)$ deuterium $\left({ }^2 \mathrm{H}\right.$ or D$)$ and tritium $\left({ }^3 \mathrm{H}\right.$ or T$)$ . They have...
JEE Main Chemistry Easy
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