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Q JEE MAIN
Let $\left(5, \frac{a}{4}\right)$, be the circumcenter of a triangle with vertices $A(a,-2), B(a, 6)$ and $C\left(\frac{a}{4},-2\right)$. Let $\alpha$ denote the circumradius, $\beta$ denote the area...
JEE Main Mathematics Medium
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Q JEE MAIN
In a △ABC, suppose y=x is the equation of the bisector of the angle B and the equation of the side AC is 2x-y=2. If...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
A line passing through the point  makes an angle of  with the positive direction of -axis. If this line is rotated about A through an...
JEE Main Mathematics Easy
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Q JEE MAIN 2024
The portion of the line $4 x+5 y=20$ in the first quadrant is trisected by the lines $\mathrm{L}_1$ and $\mathrm{L}_2$ passing through the origin. The...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let the line $x+y=1$ meet the axes of $x$ and $y$ at $A$ and $B$, respectively. A right angled triangle A M $N$ is inscribed...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Two equal sides of an isosceles triangle are along $-x+2 y=4$ and $x+y=4$. If m is the slope of its third side, then the sum,...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let ABC be the triangle such that the equations of lines AB and AC be $3y - x = 2$ and $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let the three sides of a triangle are on the lines $4x - 7y + 10 = 0,x + y = 5$ and $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
A line passes through the origin and makes equal angles with the positive coordinate axes. It intersects the lines $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let the points $\left(\frac{11}{2}, \alpha\right)$ lie on or inside the triangle with sides $x+y=11, x+2 y=16$ and $2 x+3 y=29$. Then the product of the...
JEE Main Mathematics Easy
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