# The locus of the mid-points of the perpendiculars

Question:

The locus of the mid-points of the perpendiculars drawn from points on the line, $x=2 y$ to the line $x=y$ is :

1. $2 x-3 y=0$

2. $7 x-5 y=0$

3. $5 x-7 y=0$

4. $3 x-2 y=0$

Correct Option: , 3

Solution: