JEE Main 2019 (Online) 10th January Morning ShiftQuestion 1
If the line $3x+4y-24=0$ intersects the $x$-axis at the point $A$ and the $y$-axis at the point $B$, then the incentre of the triangle $OAB$, where $O$ is the origin, is :
Points and Straight Lines
Solution
$A=(8,0)$, $B=(0,6)$, $AB=10$. Inradius of the right triangle $r=\frac{6+8-10}{2}=2$, so the incentre is $(2,2)$.