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2025 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
Let $A=\left[\begin{array}{cc}\frac{1}{\sqrt{2}} & -2 0 & 1\end{array}\right]$ and $\mathrm{P}=\left[\begin{array}{cc}\cos \theta & -\sin \theta \sin \theta & \cos \theta\end{array}\right], \theta>0$. If $\mathrm{B}=\mathrm{PAP}^{\mathrm{T}}, \mathrm{C}=\mathrm{P}^{\mathrm{T}} \mathrm{B}^{10} \mathrm{P}$ and...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
If the components of $\overrightarrow{\mathbf{a}}=\alpha \hat{i}+\beta \hat{j}+\gamma \hat{k}$ along and perpendicular to $\overrightarrow{\mathbf{b}}=3 \hat{i}+\hat{j}-\hat{k}$ respectively, are $\frac{16}{11}(3 \hat{i}+\hat{j}-\hat{k})$ and $\frac{1}{11}(-4 \hat{i}-5 \hat{j}-17 \hat{k})$, then $\alpha^{2}+\beta^{2}+\gamma^{2}$...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
The number of points of discontinuity of the function $f(x) = \left[ {\frac{{{x^2}}}{2}} \right] - [\sqrt x ],x \in [0,4]$, where $[ \cdot ]$ denotes...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let the coefficients of three consecutive terms $T_{r}, T_{r+1}$ and $T_{r+2}$ in the binomial expansion of $(a+b)^{12}$ be in a G.P. and let $p$ be...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
The number of singular matrices of order 2, whose elements are from the set {2,3,6,9}, is ______.
JEE Main Mathematics Hard
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Q JEE MAIN 2025
Consider the hyperbola $\frac{{{x^2}}}{{{a^2}}} - \frac{{{y^2}}}{{{b^2}}} = 1$ having one of its focus at ${\rm{P}}( - 3,0)$. If the latus ractum through its other focus...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
The number of relations on the set ${\rm{A}} = \{ 1,2,3\} $, containing at most 6 elements including (1,2), which are reflexive and transitive but...
JEE Main Mathematics Hard
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Q JEE MAIN 2025
If the shortest distance between the lines $\frac{{x - 1}}{2} = \frac{{y - 2}}{3} = \frac{{z - 3}}{4}$ and $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let the system of equations:
$2x + 3y + 5z = 9$
$7x + 3y - 2z = 8$
$...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let A be a $3 \times 3$ matrix such that $|{\mathop{\rm adj}\nolimits} ({\mathop{\rm adj}\nolimits} ({\mathop{\rm adj}\nolimits} {\rm{A}}))| = 81$.
If $...
JEE Main Mathematics Medium
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