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Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2024
If the orthocentre of the triangle formed by the lines 2x+3y-1=0,x+2y-1=0 and ax + by -1=0, is the centroid of another triangle, whose circumecentre and...
JEE Main Mathematics Medium
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Q JEE MAIN
A ray of light coming from the point P(1,2) gets reflected from the point Q on the x-axis and then passes through the point R(4,3)....
JEE Main Mathematics Medium
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Q JEE MAIN 2024
The equations of two sides AB and AC of a triangle $A B C$ are $4 x+y=14$ and $3 x-2 y=5$, respectively. The point $\left(2,-\frac{4}{3}\right)$...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Let λ,μ∈R. If the system of equations 3x+5y+λz=3 7x+11y-9z=2 97x+155y-189z=μ has infinitely many solutions, then μ+2λ is equal to :
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Let a rectangle ABCD of sides 2 and 4 be inscribed in another rectangle PQRS such that the vertices of the rectangle ABCD lie on...
JEE Main Mathematics Hard
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Q JEE MAIN 2024
The vertices of a triangle are A(-1,3),B(-2,2) and C(3,-1). A new triangle is formed by shifting the sides of the triangle by one unit inwards....
JEE Main Mathematics Hard
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Q JEE MAIN 2024
Let d be the distance of the point of intersection of the lines x+63=y2=z+11 and x-74=y-93=z-42 from the point (7,8,9). Then d2+6 is equal to...
JEE Main Mathematics Hard
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Q JEE-Main 2024
Let $A=\{1,2,3, \ldots 20\}$. Let $R_1$ and $R_2$ two relation on A such that $\mathrm{R}_1=\{(\mathrm{a}, \mathrm{b}): \mathrm{b}$ is divisible by a$\}$ $\mathrm{R}_2=\{(\mathrm{a}, \mathrm{b}): \mathrm{a}$ is...
JEE Main Mathematics Medium
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Q JEE MAIN 2024
Let $\alpha, \beta, \gamma, \delta \in \mathrm{Z}$ and let $\mathrm{A}(\alpha, \beta), \mathrm{B}(1,0), \mathrm{C}(\gamma, \delta)$ and $D(1,2)$ be the vertices of a parallelogram ABCD . If...
JEE Main Mathematics Easy
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