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