The co-ordinates of the point P are $(-3,2)$. Find the coordinates of the point Q which lies on the line joining P and origin such that $OP = OQ$.

Given:

The co-ordinates of the point P are $(-3,2)$. 

To do:

We have to find the coordinates of the point Q which lies on the line joining P and origin such that $OP = OQ$.

Solution:

Co-ordinates of $P$ are $(-3, 2)$ and origin $O$ are $(0, 0)$.
Let the co-ordinates of $Q$ be $(x, y)$
$O$ is the mid-point of $PQ$

This implies,

$OP=OQ$

By mid-point theorem,

$\frac{-3+x}{2}=0$ and $\frac{2+y}{2}=0$

$\Rightarrow -3+x=0$ and $2+y=0$

$\Rightarrow x=3$ and $y=-2$

Therefore, the coordinates of the point $Q$ are $(3, -2)$.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

31 Views

Kickstart Your Career

Get certified by completing the course

Get Started