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2021 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2021
A point $Z$ moves in the complex plane such that arg $\left(\frac{z-2}{z+2}\right)-\frac{\pi}{4}$, then the minimum value of $|Z-9 \sqrt{2}-2 \mathrm{i}|^2$ is equal to $\_\_\_\_$ .
JEE Main Mathematics Hard
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Q JEE MAIN 2021
Let $[\mathrm{t}]$ denote the greatest integer $\leq 1$. Then the value of 8 . $\int_{-\frac{1}{2}}^1([2 x]|\mathrm{x}|) d x$ is
JEE Main Mathematics Easy
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Q JEE MAIN 2019
A moving coil galvanometer has resistance $50 \Omega$ and it indicates full deflection at 4 mA current. A voltmeter is made using this galvanometer and...
JEE Main Physics Medium
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Q JEE Main 2021
If $[x]$ is the greatest integer $\leq x$, then $\pi^2 \int_0^2\left(\sin \frac{\pi x}{2}\right)(x-[x]) \quad d x$ is equal to :
JEE Main Mathematics Medium
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Q JEE Main 2021
Let $f$ be any continuous function on $[0,2]$ and twice differentiable on $(0,2)$. If $f(0)=0, f(1)=1$ and $f(2)=2$, then
JEE Main Mathematics Medium
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Q JEE MAIN 2021
The line $12 x \cos \theta+5 y \sin \theta=60$ is tangent to which of the following curves?
JEE Main Mathematics Easy
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Q JEE MAIN 2019
A solid sphere of mass ‘M’ and radius ‘a’ is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational...
JEE Main Physics Medium
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Q JEE MAIN 2021
If $a_r=\cos \frac{2 r \pi}{9}+i \sin \frac{2 r \pi}{9}, r=1,2,3, \ldots, \mathrm{i}=\sqrt{-1}$ then the determinant $...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
A vertical pole fixed to the horizontal ground is divided in the ratio 3 : 7 by a mark on it with lower part shorter...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
A concave mirror for face viewing has focal length of 0.4 m. The distance at which you hold the mirror from your face in order...
JEE Main Physics Easy
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