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Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2023
If $(\alpha, \beta)$ is the orthocentre of the triangle ABC with vertices $\mathrm{A}(3,-7), \mathrm{B}(-1,2)$ and $\mathrm{C}(4,5)$, then $9 \alpha-6 \beta+60$ is equal to:
JEE Main Mathematics Medium
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Q JEE-Main 2023
The straight lines $I_1$ and $I_2$ pass through the origin and trisect the line segment of the line L: 9x + 5y = 45 between...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
If the point $\left(\alpha, \frac{7 \sqrt{3}}{3}\right)$ lies on the curve traced by the mid-points of the line segments of the lines $...
JEE Main Mathematics Medium
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Q JEE-Main 2023
The straight lines l1 and l2 pass through the origin and trisect the line segment of the line L: 9x + 5y = 45 between...
JEE Main Mathematics Medium
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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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