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the centre of the circle will lie on the angular bisectors of the given pair of tangents.
the angular bisectors will be x-5 = ±(y-7)
=> y = x+2 and y = 12-x
=> (α,α+2) and (α,12-α) will be the centres where α is any parameter...
with further data to the problem we can get the exact centres to the required circle
priyanka tata
THE POSSIBLE COORDINATES ARE (5,7) AND (-5,-7)
APPROVE MY ANSWER.........
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