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2025 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
If the set of all $a \in \mathbf{R}$, for which the equation $2 x^2+(a-5) x+15=3$ a has no real root, is the interval $(\alpha, \beta)$,...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
If all the words with or without meaning made using all the letters of the word "KANPUR" are arranged as in a dictionary, then the...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $\hat{\mathrm{a}}$ be a unit vector perpendicular to the vectors $\overrightarrow{\mathrm{b}}=\hat{i}-2 \hat{j}+3 \hat{k}$ and $\overrightarrow{\mathrm{c}}=2 \hat{i}+3 \hat{j}-\hat{k}$, and makes an angle of $\cos ^{-1}\left(-\frac{1}{3}\right)$ with...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let $A=\left[a_{i j}\right]$ be a matrix of order $3 \times 3$, with $\mathrm{a}_{i j}=(\sqrt{2})^{i+j}$. If the sum of all the elements in the third row...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
If for the solution curve $y=f(x)$ of the differential equation $\frac{\mathrm{d} y}{\mathrm{~d} x}+(\tan x) y=\frac{2+\sec x}{(1+2 \sec x)^{2}}$, $x \in\left(\frac{-\pi}{2}, \frac{\pi}{2}\right), f\left(\frac{\pi}{3}\right)=\frac{\sqrt{3}}{10}$, then $f\left(\frac{\pi}{4}\right)$ is...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let a circle $C$ pass through the points $(4,2)$ and $(0,2)$, and its centre lie on $3 x+2 y+2=0$. Then the length of the chord,...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let the area enclosed between the curves $|y|=1-x^{2}$ and $x^{2}+y^{2}=1$ be $\alpha$. If $9 \alpha=\beta \pi+\gamma ; \beta, \gamma$ are integers, then the value of...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
If $\sin x+\sin ^{2} x=1, x \in\left(0, \frac{\pi}{2}\right)$, then $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $\alpha, \beta(\alpha \neq \beta)$ be the values of $m$, for which the equations $x+y+z=1 ; x+2 y+4 z=m$ and $x+4 y+10 z=m^{2}$ have infinitely...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
The remainder, when $7^{103}$ is divided by 23 , is equal to :
JEE Main Mathematics Easy
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