Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. The points $(- a, - b)$, $(0,0)$, $(a, b)$ and $(a^2, ab)$ are

Straight Lines

Solution:

The point $O(0, 0)$ is the midpoint of $A(- a, - b)$ and $B(a, b)$.
$\therefore A$, $O$, $B$ are collinear and equation of $AO$ is $y=\frac{b}{a}x$
$D = \left(a^{2}, ab\right)$ satisfies the equation of $AO$
$\therefore $ The four points are collinear.