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2023 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2023
All the letters of the word PUBLIC are written in all possible orders and these words are written as in a dictionary with serial numbers....
JEE Main Mathematics Medium
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Q JEE MAIN 2023
If $\mathrm{S}_{\mathrm{n}}=4+11+21+34+50+$ $\_\_\_\_$ to n terms, then $\frac{1}{60}\left(\mathrm{~S}_{29}-\mathrm{S}_9\right)$ is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Let $\vec{a}=2 \hat{i}+7 \hat{j}-\hat{k}, \vec{b}=3 \hat{i}+5 \hat{k}$ and $\vec{c}=\hat{i}-\hat{j}+2 \hat{k}$. Let $\vec{d}$ be a vector which is perpendicular to both $\vec{a}$ and $\vec{b}$, and $...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let P be a square matrix such that $\mathrm{P}^2=\mathrm{I}-\mathrm{P}$. For $\alpha, \beta, \gamma, \delta \in \mathrm{N}$, if $\mathrm{P}^\alpha+\mathrm{P}^\beta=\gamma \mathrm{I}-29 \mathrm{P}$ and $\mathrm{P}^\alpha-\mathrm{P}^\beta=\delta \mathrm{I}-$ 13P, then...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $|\vec{a}|=2,|\vec{b}|=3$ and the angle between the vectors $\vec{a}$ and $\vec{b}$ be $\frac{\pi}{4}$. Then $|(\vec{a}+2 \vec{b}) \times(2 \vec{a}-3 \vec{b})|^2$ is equal to
JEE Main Mathematics Easy
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Q JEE-Main 2023
Let P be the plane passing through the line $\frac{x-1}{1}=\frac{y-2}{-3}=\frac{z+5}{7}$ and the point (2, 4, –3). If the image of the point (–1, 3, 4)...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
The area bounded by the curves y = |x – 1| + |x – 2| and y = 3 is equal to
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $(\alpha, \beta)$ be the centroid of the triangle formed by the lines $15 x-y=82,6 x-5 y=-4$ and $9 x+4 y=$ 17. Then $\alpha+2 \beta$...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
Let $g(x)=f(x)+f(1-x)$ and $f^{\prime \prime}(x)>0, x \in(0,1)$, If $g$ is decreasing in the interval ( $0, \alpha$ ) and increasing in the interval ( $...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
For the system of equations $$ \begin{aligned} & x+y+z=6 \\ & x+2 y+\alpha z=10 \end{aligned} $$ $x+3 y+5 z=\beta$, which one of the following is...
JEE Main Mathematics Easy
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