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2025 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
Let $A=\left\{\theta \in[0,2 \pi]: 1+10 \operatorname{Re}\left(\frac{2 \cos \theta+i \sin \theta}{\cos \theta-3 i \sin \theta}\right)=0\right\}$. Then $\sum_{\theta \in \mathrm{A}} \theta^2$ is equal to
JEE Main Mathematics Medium
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Q JEE MAIN 2025
A line passing through the point $P(a, 0)$ makes an acute angle $\alpha$ with the positive $x$-axis. Let this line be rotated about the point...
JEE Main Mathematics Medium
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Q JEE MAIN_2025
A bag contains 19 unbiased coins and one coin with head on both sides. One coin drawn at random is tossed and head turns up....
JEE Main Physics Easy
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Q JEE MAIN 2025
Let the values of $\lambda$ for which the shortest distance between the lines $\frac{x-1}{2}=\frac{y-2}{3}=\frac{z-3}{4}$ and $\frac{x-\lambda}{3}=\frac{y-4}{4}=\frac{z-5}{5}$ is $\frac{1}{\sqrt{6}}$ be $\lambda_1$ and $\lambda_2$. Then the radius...
JEE Main Mathematics Medium
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Q JEE MAIN_2025
Let a random variable $X$ take values $0,1,2,3$ with $P(X=0)=P(X=1)=p, P(X=2)=P(X=3)$ and $E\left(X^2\right)=2 E(X)$. Then the value of $8 p-1$ is:
JEE Main Physics Medium
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Q JEE MAIN_2025
Let $f: \mathbf{R} \rightarrow \mathbf{R}$ be a polynomial function of degree four having extreme values at $x=4$ and $x=5$. If $\lim _{x \rightarrow 0} \frac{f(x)}{x^2}=5$,...
JEE Main Physics Easy
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Q JEE MAIN 2025
Let $f(x)=x-1$ and $g(x)=e^x$ for $x \in \mathbb{R}$. If $\frac{d y}{d x}=\left(e^{-2 \sqrt{x}} g(f(f(x)))-\frac{y}{\sqrt{x}}\right), y(0)=0$, then $y(1)$ is
JEE Main Mathematics Medium
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Q JEE MAIN 2025
If the sum of the first 10 terms of the series $\frac{4 \cdot 1}{1+4 \cdot 1^4}+\frac{4 \cdot 2}{1+4 \cdot 2^4}+\frac{4 \cdot 3}{1+4 \cdot 3^4}+\ldots$. is...
JEE Main Mathematics Hard
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Q JEE MAIN_2025
Let $p$ be the number of all triangles that can be formed by joining the vertices of a regular polygon $P$ of $n$ sides and...
JEE Main Physics Easy
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Q JEE MAIN 2025
If the set of all $a \in R-\{1\}$, for which the roots of the equation $(1-a) x^2+2(a-3) x+9=0$ are positive is $(-\infty,-\alpha] \cup[\beta, \gamma)$, then...
JEE Main Mathematics Medium
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