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2024 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN
Let $\overrightarrow{\mathrm{OA}}=2 \overrightarrow{\mathrm{a}}, \overrightarrow{\mathrm{OB}}=6 \overrightarrow{\mathrm{a}}+5 \overrightarrow{\mathrm{~b}}$ and $\overrightarrow{\mathrm{OC}}=3 \overrightarrow{\mathrm{~b}}$, where O is the origin. If the area of the parallelogram with adjacent sides $\overrightarrow{\mathrm{OA}}$ and...
JEE Main Mathematics Easy
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Q JEE MAINS 2024
A body starts falling freely from height H hits an inclined plane in its path at height h. As a result of this perfectly elastic...
JEE Main Physics Hard
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Q JEE MAIN 2024
If the range of $f(\theta)=\frac{\sin ^4 \theta+3 \cos ^2 \theta}{\sin ^4 \theta+\cos ^2 \theta}, \theta \in \mathbb{R}$ is $[\alpha, \beta]$, then the sum of the...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
The number of ways of getting a sum 16 on throwing a dice four times is
JEE Main Mathematics Medium
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Q JEE MAINS 2024
A solid circular disc of mass 50" " kg rolls along a horizontal floor so that its center of mass has a speed of 0.4"...
JEE Main Physics Easy
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Q JEE MAIN
Let $|\cos \theta \cos (60-\theta) \cos (60-\theta)| \leq \frac{1}{8}, \theta \in[0,2 \pi]$ Then, the sum of all $\theta \in[0,2 \pi]$, where cos⁡3$\theta$ attains its maximum...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
Let the positive integers be written in the form : If the k^"th " row contains exactly k numbers for every natural number k, then...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Let $A$ be a square matrix of order 2 such that $|A|=2$ and the sum of its diagonal elements is -3. If the points (...
JEE Main Mathematics Medium
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Q JEE-Main 2024
Let $\mathrm{y}=\mathrm{y}(\mathrm{x})$ be the solution of the differential equation $\left(2 x \log _e x\right) \frac{d y}{d x}+2 y=\frac{3}{x} \log _e x, \mathrm{x}>0$ and $\mathrm{y}\left(\mathrm{e}^{-1}\right)=0$. Then,...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
The area of the region enclosed by the parabolas $y=x^2-5 x$ and $y=7 x-x^2$ is
JEE Main Mathematics Easy
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