Mathematics

Problem

A line

y = mx + 1

intersects the circle

(x-3)^2 + (y+2)^2 = 25

at the points

P

and

Q

. If the mid-point of the line segment

PQ

has

x

-coordinate

-\frac{3}{5}

, then which one of the following options is correct? (2019 Adv.) (a)

6 \le m < 8

(b)

-3 \le m < -1

(c)

4 \le m < 6

(d)

2 \le m < 4