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2025 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
Let $\alpha, \beta$ be the roots of the equation $x^{2}-\mathrm{ax}-\mathrm{b}=0$ with $\operatorname{Im}(\alpha)<\operatorname{Im}(\beta)$. Let $\mathrm{P}_{\mathrm{n}}=\alpha^{\mathrm{n}}-\beta^{\mathrm{n}}$. If $\mathrm{P}_{3}=-5 \sqrt{7} i, \mathrm{P}_{4}=-3 \sqrt{7} i, \mathrm{P}_{5}=11 \sqrt{7} i$ and...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
The roots of the quadratic equation $3 x^{2}-p x+q=0$ are $10^{\text {th }}$ and $11^{\text {th }}$ terms of an arithmetic progression with common difference...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and another liquid having refractive index 1.6 is...
JEE Main Physics Medium
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Q JEE MAIN 2025
For ac circuit shown in figure, ${\rm{R}} = 100{\rm{k}}\Omega $ and ${\rm{C}} = 100{\rm{pF}}$ and the phase difference between ${{\rm{V}}_{{\rm{in }}}}$ and $...
JEE Main Physics Medium
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Q JEE MAIN 2025
The number of ways, 5 boys and 4 girls can sit in a row so that either all the boys sit together or no two...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
The focus of the parabola $y^{2}=4 x+16$ is the centre of the circle $C$ of radius 5 . If the values of $\lambda$, for which...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
If $\mathrm{I}=\int_{0}^{\frac{\pi}{2}} \frac{\sin ^{\frac{3}{2}} x}{\sin ^{\frac{3}{2}} x+\cos ^{\frac{3}{2}} x} \mathrm{~d} x$, then $\int_{0}^{21} \frac{x \sin x \cos x}{\sin ^{4} x+\cos ^{4} x} \mathrm{~d} x$ equals...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let $\int \mathrm{x}^{3} \sin x \mathrm{~d} x=\mathrm{g}(x)+\mathrm{C}$, where C is the constant of integration. If $8\left(\mathrm{~g}\left(\frac{\pi}{2}\right)+\mathrm{g}^{\prime}\left(\frac{\pi}{2}\right)\right)=\alpha \pi^{3}+\beta \pi^{2}+\gamma, \alpha, \beta, \gamma \in Z$, then $\alpha+\beta-\gamma$...
JEE Main Physics Medium
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Q JEE MAIN 2025
Two wires A and B are made of same material having ratio of lengths $\frac{{{L_A}}}{{{L_B}}} = \frac{1}{3}$ and their diameters ratio $\frac{{{d_A}}}{{{d_B}}} = 2$. If...
JEE Main Physics Medium
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