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2025 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
Number of functions $f:\{1,2, \ldots, 100\} \rightarrow\{0,1\}$, that assign 1 to exactly one of the positive integers less than or equal to 98 , is...
JEE Main Physics Easy
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Q JEE MAIN 2025
If $\int \frac{2 x^{2}+5 x+9}{\sqrt{x^{2}+x+1}} \mathrm{~d} x=x \sqrt{x^{2}+x+1}+\alpha \sqrt{x^{2}+x+1}+\beta \log _{\mathrm{e}}\left|x+\frac{1}{2}+\sqrt{x^{2}+x+1}\right|+\mathrm{C}$, where $C$ is the constant of integration, then $\alpha+2 \beta$ is equal to $\_\_\_\_$...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $P$ be the image of the point $Q(7,-2,5)$ in the line $L: \frac{x-1}{2}=\frac{y+1}{3}=\frac{z}{4}$ and $R(5, p, q)$ be a point on $L$. Then the...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let the points $\left(\frac{11}{2}, \alpha\right)$ lie on or inside the triangle with sides $x+y=11, x+2 y=16$ and $2 x+3 y=29$. Then the product of the...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
In an arithmetic progression, if $S_{40}=1030$ and $S_{12}=57$, then $S_{30}-S_{10}$ is equal to:
JEE Main Mathematics Easy
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Q JEE MAIN 2025
If $\alpha>\beta>\gamma>0$, then the expression $\cot ^{-1}\left\{\beta+\frac{\left(1+\beta^{2}\right)}{(\alpha-\beta)}\right\}+\cot ^{-1}\left\{\gamma+\frac{\left(1+\gamma^{2}\right)}{(\beta-\gamma)}\right\}+\cot ^{-1}\left\{\alpha+\frac{\left(1+\alpha^{2}\right)}{(\gamma-\alpha)}\right\}$ is equal to :
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $(2,3)$ be the largest open interval in which the function $f(x)=2 \log _{\mathrm{e}}(x-2)-x^{2}+a x+1$ is strictly increasing and $(\mathrm{b}, \mathrm{c})$ be the largest open...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Group A consists of 7 boys and 3 girls, while group B consists of 6 boys and 5 girls. The number of ways, 4 boys...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let the position vectors of three vertices of a triangle be $4 \vec{p}+\vec{q}-3 \vec{r},-5 \vec{p}+\vec{q}+2 \vec{r}$ and $2 \vec{p}-\vec{q}+2 \vec{r}$. If the position vectors of...
JEE Main Mathematics Medium
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