JEE Main 2021 (Online) 26th February Morning ShiftQuestion 1
The intersection of three lines $x-y=0$, $x+2y=3$ and $2x+y=6$ is a :
Points and Straight Lines
JEE Mathematics / Practice
Points and Straight Lines
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JEE Main 2024 (Online) 30th January Morning ShiftQuestion 2
A line passing through the point $A(9,0)$ makes an angle of $30^{\circ}$ with the positive direction of $x$-axis. If this line is rotated about $A$ through an angle of $15^{\circ}$ in the clockwise direction, then its equation in the new position is :
Points and Straight Lines
JEE Main 2022 (Online) 26th June Morning ShiftQuestion 3
Let $R$ be the point $(3,7)$ and let $P$ and $Q$ be two points on the line $x+y=5$ such that $PQR$ is an equilateral triangle. Then the area of $\triangle PQR$ is :
Points and Straight Lines
JEE Main 2025 (Online) 4th April Morning ShiftQuestion 4
Let the three sides of a triangle are on the lines $4x-7y+10=0$, $x+y=5$ and $7x+4y=15$. Then the distance of its orthocentre from the orthocentre of the triangle formed by the lines $x=0$, $y=0$ and $x+y=1$ is
Points and Straight Lines
JEE Main 2021 (Online) 18th March Evening ShiftQuestion 5
Let the centroid of an equilateral triangle $ABC$ be at the origin. Let one of the sides of the equilateral triangle be along the straight line $x+y=3$. If $R$ and $r$ be the radius of circumcircle and incircle respectively of $\triangle ABC$, then $(R+r)$ is equal to :
Points and Straight Lines