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Straight Lines

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2023
Let the equations of two adjacent sides of a parallelogram ABCD be $2 \mathrm{x}-3 \mathrm{y}=-23$ and $5 \mathrm{x}+4 \mathrm{y}=23$. If the equation of its one...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $(\alpha, \beta)$ be the centroid of the triangle formed by the lines $15 x-y=82,6 x-5 y=-4$ and $9 x+4 y=$ 17. Then $\alpha+2 \beta$...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
A line passing through the point $P(a, 0)$ makes an acute angle $\alpha$ with the positive $x$-axis. Let this line be rotated about the point...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let $A(4,-2), B(1,1)$ and $C(9,-3)$ be the vertices of a triangle ABC . Then the maximum area of the parallelogram $A F D E$, formed...
JEE Main Mathematics Hard
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Q JEE MAIN 2025
Let $a$ be the length of a side of a square OABC with O being the origin. Its side OA makes an acute angle $\alpha$...
JEE Main Mathematics Medium
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Q JEE MAIN_2025
If the orthocenter of the triangle formed by the lines $y=x+1, y=4 x-8$ and $y=m x+c$ is at $(3,-1)$ , then $\mathrm{m}-\mathrm{c}$ is :
JEE Main Physics Easy
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Q JEE MAIN 2025
Let the area of the triangle formed by a straight line $L: x+b y+c=0$ with co-ordinate axes be 48 square units. If the perpendicular drawn...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let the equation $x(x+2)(12-k)=2$ have equal roots. Then the distance of the point $\left(k, \frac{k}{2}\right)$ from the line $3 x+4 y+5=0$ is
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Consider the lines $x(3 \lambda+1)+y(7 \lambda+2)=17 \lambda+5, \lambda$ being a parameter, all passing through a point P : One of these lines (say $L$ )...
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Consider the triangles with vertices $A(2,1) B(0,0)$ and $C(t, 4), t \in[0,4]$. It the maximum and the minimum perimeters of such triangles are obtained at...
JEE Main Mathematics Hard
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