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Straight Lines

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2022
Let a triangle be bounded by the lines $L_{1 i} 2 x+5 y=10 ; L_{2 i}-4 x+3 y=12$ and the line $L_3$, which passes through...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let the area of the triangle with vertices $\mathrm{A}(1, \alpha), \mathrm{B}(\alpha, 0)$ and $\mathrm{C}(0, \alpha)$ be 4 sq. units. If the point $(\alpha,-\alpha),(-\alpha, \alpha)$ and...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
The distance between the two points $A$ and $A^{\prime}$ which lie on $y=2$ such that both the line segments $A B$ and $A^{\prime} B$ (where...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
A ray of light passing through the point $P(2,3)$ reflects on the $x$-axis at point $A$ and the reflected ray passes through the point $Q(5,4)$....
JEE Main Mathematics Medium
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Q JEE MAIN 2022
In an isosceles triangle $A B C$, the vertex $A$ is $(6,1)$ and the equation of the base $B C$ is $2 x+y=4$. Let the...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Let $A\left(\frac{3}{\sqrt{a}}, \sqrt{a}\right) a>0$ be a fixed point in the $x y$-plane. The image of $A$ in $y$-axis be $B$ and the image of $B$...
JEE Main Mathematics Medium
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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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