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2025 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
Let $S=\left\{m \in \mathbf{Z}: A^{m^2}+A^m=3 I-A^{-6}\right\}$, where $A=\left[\begin{array}{cc}2 & -1 \\ 1 & 0\end{array}\right]$. Then $n(S)$ is equal to ______.
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let $\mathrm{S}=\left\{x: \cos ^{-1} x=\pi+\sin ^{-1} x+\sin ^{-1}(2 x+1)\right\}$. Then $\sum_{x \in \mathrm{~S}}(2 x-1)^2$ is equal to ______.
JEE Main Mathematics Easy
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Q JEE MAIN 2025
A time varying potential difference is applied between the plates of a parallel plate capacitor of capacitance $2.5 \mu \mathrm{~F}$. The dielectric constant of the...
JEE Main Physics Medium
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Q JEE MAIN 2025
Let $f:(0,\infty ) \to {\bf{R}}$ be a twice differentiable function. If for some ${\rm{a}} \ne 0,\int_0^1 f (\lambda x){\rm{d}}\lambda = {\rm{a}}f(x),f(1) = 1$ and $...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
The equation of a transverse wave travelling along a string is $y(x, t)=4.0 \sin \left[20 \times 10^{-3} x+600 t\right] \mathrm{mm}$, where $x$ is in mm...
JEE Main Physics Easy
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Q JEE MAIN 2025
The number of 6-letter words, with or without meaning, that can be formed using the letters of the word MATHS such that any letter that...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Two point charges $-4 \mu \mathrm{c}$ and $4 \mu \mathrm{c}$, constituting an electric dipole, are placed at $(-9,0,0) \mathrm{cm}$ and $(9,0,0) \mathrm{cm}$ in a uniform...
JEE Main Physics Medium
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Q JEE MAIN 2025
Let [t] be the greatest integer less than or equal to t. Then the least value of $p\in \mathbb{N}$ for which $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
A massless spring gets elongated by amount $X_{1}$ under a tension of 5 N . Its elongation is $X_{2}$ under the tension of 7 N...
JEE Main Physics Medium
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Q JEE MAIN 2025
Let ${{\rm{L}}_1}:\frac{{x - 1}}{1} = \frac{{y - 2}}{{ - 1}} = \frac{{z - 1}}{2}$ and $...
JEE Main Mathematics Easy
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