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JEE Math Practice 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?

  1. A.$-3 \leq m<-1$
  2. B.$2 \leq m<4$
  3. C.$4 \leq m<6$
  4. D.$6 \leq m<8$

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