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2025 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
Let $\mathrm{f}: \mathbf{R} \rightarrow \mathbf{R}$ be a twice differentiable function such that $f(2)=1$. If $\mathrm{F}(x)=x f(x)$ for all $x \in \mathbf{R}$, $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let the angle $\theta ,0 < \theta < \frac{\pi }{2}$ between two-unit vectors $\hat a$ and $\hat b$ be $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $\mathrm{A}, \mathrm{B}, \mathrm{C}$ be three points in $\sqrt{3} \hat{i}+\hat{j}, \hat{i}+\sqrt{3} \hat{j}$ and $\mathrm{a} \hat{i}+(1-\mathrm{a}) \hat{j}$ respectively with respect to the origin O . If...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
$...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $f$ be a real valued continuous function defined on the positive real axis such that $g(x)=\int_{0}^{x} t f(\mathrm{t}) \mathrm{dt}$. If $\mathrm{g}\left(x^{3}\right)=x^{6}+x^{7}$, then value of...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
The integral $\int_0^\pi {\frac{{(x + 3)\sin x}}{{1 + 3{{\cos }^2}x}}} dx$ is equal to
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let $f:[0,3] \rightarrow$ A be defined by $f(x)=2 x^{3}-15 x^{2}+36 x+7$ and $g:[0, \infty) \rightarrow B$ be defined by $\mathrm{g}(x)=\frac{x^{2025}}{x^{2025}+1}$. If both the functions are...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let P be the parabola, whose focus is (-2, 1) and directrix is $2x + y + 2 = 0$. Then the sum of the...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
The square of the distance of the point $\left(\frac{15}{7}, \frac{32}{7}, 7\right)$ from the line $\frac{x+1}{3}=\frac{y+3}{5}=\frac{z+5}{7}$ in the direction of the vector $\hat{i}+4 \hat{j}+7 \hat{k}$ is:
JEE Main Mathematics Easy
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Q JEE MAIN 2025
The remainder when ${\left( {{{(64)}^{(64)}}} \right)^{(64)}}$ is divided by 7 is equal to
JEE Main Mathematics Hard
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