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Straight Lines

Get chapter-wise JEE Main & Advanced questions with solutions

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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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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