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JEE Mathematics / Practice

Points and Straight Lines

Chapter overview and full question list

Showing 6-10 of 284 questions.

JEE Main 2021 (Online) 27th August Morning ShiftQuestion 6
Let $A$ be a fixed point $(0,6)$ and $B$ be a moving point $(2t,0)$. Let $M$ be the mid-point of $AB$ and the perpendicular bisector of $AB$ meets the $y$-axis at $C$. The locus of the mid-point $P$ of $MC$ is :
Points and Straight Lines
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JEE Main 2021 (Online) 16th March Evening ShiftQuestion 7
Let $A(-1,1)$, $B(3,4)$ and $C(2,0)$ be given three points. A line $y=mx$, $m>0$, intersects lines $AC$ and $BC$ at point $P$ and $Q$ respectively. Let $A_1$ and $A_2$ be the areas of $\triangle ABC$ and $\triangle PQC$ respectively, such that $A_1=3A_2$, then the value of $m$ is equal to :
Points and Straight Lines
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JEE Main 2024 (Online) 30th January Evening ShiftQuestion 8
If $x^{2}-y^{2}+2hxy+2gx+2fy+c=0$ is the locus of a point, which moves such that it is always equidistant from the lines $x+2y+7=0$ and $2x-y+8=0$, then the value of $g+c+h-f$ equals
Points and Straight Lines
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JEE Main 2024 (Online) 27th January Morning ShiftQuestion 9
The portion of the line $4x+5y=20$ in the first quadrant is trisected by the lines $L_1$ and $L_2$ passing through the origin. The tangent of an angle between the lines $L_1$ and $L_2$ is :
Points and Straight Lines
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JEE Main 2024 (Online) 8th April Evening ShiftQuestion 10
If the line segment joining the points $(5,2)$ and $(2,a)$ subtends an angle $\frac{\pi}{4}$ at the origin, then the absolute value of the product of all possible values of $a$ is :
Points and Straight Lines
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