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:

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