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2025 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
The sum of all rational terms in the expansion of ${(2 + \sqrt 3 )^8}$ is
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $f(x) = \int {{x^3}} \sqrt {3 - {x^2}} dx$. If $5f(\sqrt 2 ) = - 4$, then $f(1)$ is equal to
JEE Main Mathematics Medium
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Q JEE MAIN 2025
The number of solutions of the equation $...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let $z \in \mathbb{C}$ be such that $\frac{{{z^2} + 3i}}{{z - 2 + i}} = 2 + 3i$. Then the sum of all possible values...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
If $y(x) = \left| {\begin{array}{*{20}{c}} {\sin x}&{\cos x}&{\sin x + \cos x + 1}\\ {27}&{28}&{27}\\ 1&1&1 \end{array}} \right|$, $x \in \mathbb{R}$, then $\frac{{{d^2}y}}{{d{x^2}}} + y$...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let A be a matrix of order $3 \times 3$ and $|A| = 5$. If $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
If the domain of the function $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let g be a differentiable function such that $\int_0^x g (t)dt = x - \int_0^x t g(t)dt,x \ge 0$ and let $y = y(x)$ satisfy...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Line ${L_1}$ passes through the point (1,2,3) and is parallel to z-axis. Line ${L_2}$ passes through the point $(\lambda ,5,6)$ and is parallel to y-axis....
JEE Main Mathematics Easy
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Q JEE MAIN 2025
A line passing through the point $P(\sqrt 5 ,\sqrt 5 )$ intersects the ellipse $\frac{{{x^2}}}{{36}} + \frac{{{y^2}}}{{25}} = 1$ at A and B such that...
JEE Main Mathematics Hard
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