Question

The lines 2x-3y+7=0 and 4x-6y-5=0 are tangent to the same circle

Answer 1

{2x+3y+7=0}×2
4x+6y+14=0–equation1

4x-6y-6=0–equation2

Adding 1 and 2 equations
4x+4x+6y-6y+14-6=0
8x+8=0
8x=-8
x=-8/8

x=-1
y=5/3