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 will follow these steps:

### Step 1: Identify the coefficients
For the first line \(3x - 4y + 7 = 0\), we have:
- \(a_1 = 3\)
- \(b_1 = -4\)
- \(c_1 = 7\)

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