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Q JEE MAIN 2025
Let $\mathrm{A}=\{(x, y) \in \mathbf{R} \times \mathbf{R}:|x+y| \geqslant 3\}$ and $\mathrm{B}=\{(x, y) \in \mathbf{R} \times \mathbf{R}:|x|+|y| \leq 3\}$. If $...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let ABC be a triangle formed by the lines $7x - 6y + 3 = 0,x + 2y - 31 = 0$ and $...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let the lines $3x - 4y - \alpha = 0,8x - 11y - 33 = 0$, and $2x - 3y + \lambda = 0$ be...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let the area of a $\Delta PQR$ with vertices $P(5,4),Q( - 2,4)$ and $R(a,b)$ be 35 square units. If its orthocenter and centroid are $...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
If the line $3x-2y+12=0$ intersects the parabola $4y=3{{x}^{2}}$ at the points A and B, then at the vertex of the parabola, the line segment AB...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let $A(6,8), B(10 \cos \alpha,-10 \sin \alpha)$ and $C(-10 \sin \alpha, 10 \cos \alpha)$, be the vertices of a triangle. If $L(a, 9)$ and $...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let the distance between two parallel lines be 5 units and a point $P$ lie between the lines at a unit distance from one of...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let the triangle PQR be the image of the triangle with vertices (1,3)(3,1) and (2,4) in the line $x+2y=2$. If the centroid of $\Delta \text{PQR}$...
JEE Main Mathematics Easy
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