A ray of light is sent along the line `x-2y-3=0` upon reaching the line `3x-2y-5=0,` the ray is reflected from it. Find the equation of the line containing the reflected ray.

Options

A. (a) 2x-29y-30=0
B. (b) 29x-2y-31=0
C. (c)3x-39y+37=0
D. (d)31x-3y+37=0

Explanation

To find the equation of the line containing the reflected ray of light, we will follow these steps:

### Step 1: Find the intersection point of the two lines
We need to find the point of intersection (P) of the lines given by the equations:
1. \( x - 2y - 3 = 0 \) (Incident ray)
2. \( 3x - 2y - 5 = 0 \) (Reflecting surface)

To find the intersection, we can solve these equations simultaneously.
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