Unclassified (maths): JEE Advanced 2019 Mathematics question

A line $y=m x+1$ intersects the circle $(x-3)^{2}+(y+2)^{2}=25$ at the points $P$ and $Q$. If the midpoint of the line segment $P Q$ has $x$-coordinate $-\frac{3}{5}$, then which one of the following options is correct?