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2022 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2022
The probability that a relation R from {x, y} to {x, y} is both symmetric and transitive, is equal to:
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The probability that a randomly chosen one-one function from the set {a, b, c, d} to the set {1, 2, 3, 4, 5} satisfies f(a)...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The number of 7-digit numbers which are multiples of 11 and are formed using all the digits 1, 2, 3, 4, 5, 7 and 9...
JEE Main Mathematics Hard
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Q JEE MAIN 2022
Let the plane ax + by + cz = d pass through (2, 3, –5) and is perpendicular to the planes 2x + y –...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let $Q$ be the mirror image of the point $P(1,2,1)$ with respect to the plane $x+2 y+2 z=16$. Let $T$ be a plane passing through...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
If vertex of a parabola is (2, –1) and the equation of its directrix is 4x – 3y = 21, then the length of its...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
The distance of the origin from the centroid of the triangle whose two sides have the equations $x-2 y+1=0$ and $2 x-y-1=0$ and whose orthocenter...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let $\frac{x-2}{3}=\frac{y+1}{-2}=\frac{z+3}{-1}$ lie on the plane $p x-q y+z=5$, for some $p, q \in \mathbb{R}$. The shortest distance of the plane from the origin is:
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let a triangle $A B C$ be inscribed in the circle $x^2-\sqrt{2}(x+y)+y^2=0$ such that $\angle B A C=\frac{\pi}{2}$. If the length of side AB is...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let $P: y^2=4 a x, a>0$ be a parabola with focus $S$. Let the tangents to the parabola $P$ make an angle of $\frac{\pi}{4}$ with...
JEE Main Mathematics Easy
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