Find the equation of the bisector of the obtuse angle between the lines `3x-4y+7=0` and `12 x+5y-2=0.`

Options

A. (a) 21x + 77y - 101 = 0
B. (b) 99x - 27y + 81 = 0
C. (c) 21x - 77y + 101 = 0
D. (d) None of the above

Explanation

To find the equation of the bisector of the obtuse angle between the lines \(3x - 4y + 7 = 0\) and \(12x + 5y - 2 = 0\), we can follow these steps:

### Step 1: Write the equations in standard form
The given equations are:
1. \(3x - 4y + 7 = 0\) (let's call this Line 1)
2. \(12x + 5y - 2 = 0\) (let's call this Line 2)

### Step 2: Make the constants positive
...