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Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2020
Let $\mathrm{A}(1,0), \mathrm{B}(6,2)$ and $\mathrm{C}\left(\frac{3}{2}, 6\right)$ be the vertices of a triangle $A B C$. If $P$ is a point inside the triangle ABC such...
JEE Main Mathematics Easy
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Q JEE MAIN 2019
If the two lines $x+(a-1) y=1$ and $2 x+a^2 y=1(a \in R-\{0,1\})$ are perpendicular, then the distance of their point of intersection from the origin...
JEE Main Mathematics Medium
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Q JEE Main 2021
Let A be the set of all points $(\alpha, \beta)$ such that the area of triangle formed by the points $(5,6),(3,2)$ and $(\alpha, \beta)$ is...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
Two vertices of a triangle are (0, 2) and (4, 3). If its orthocentre is at the origin, then its third vertex lies in which...
JEE Main Mathematics Easy
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Q JEE MAIN 2021
If $p$ and $q$ are the lengths of the perpendiculars from the origin on the lines, $\mathrm{x} \operatorname{cosec} \alpha-\mathrm{y} \sec \alpha=\mathrm{k} \cot 2 \alpha$ and...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
Two sides of a parallelogram are along the lines, $x+y=3$ and $x-y+3=0$. If its diagonals intersect at (2,4) then one of its vertex is :
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let A be a fixed point (0, 6) and B be a moving point (2t, 0), Let M be the mid-point of AB and the...
JEE Main Mathematics Medium
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Q JEE Main 2021
Let $A B C$ be a triangle with $A(-3,1)$ and $\angle A C B=\theta, 0<\theta<\frac{\pi}{2}$. If the equation of the median through $B$ is $...
JEE Main Mathematics Medium
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Q JEE MAIN 2021
Let n be an odd natural number such that the variance of 1, 2, 3, 4, ...., n is 14. Then n is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2019
Let $\mathrm{O}(0,0)$ and $\mathrm{A}(0,1)$ be two fixed points. Then the locus of a point P such that the perimeter of $\triangle \mathrm{AOP}$ is 4 ,...
JEE Main Mathematics Easy
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