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A circle through the common points of th...

A circle through the common points of the circles `x^(2) + y^(2) - 2x - 4y + 1 = 0` and `x^(2) + y^(2) - 2x - 6y + 1 = 0 ` has its centre on the line 4x - 7y - 19 = 0 . Find the centre and radius of the circle .

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The correct Answer is:
radius `=(15)/(7) ` units and coordinates of centre are `(1 ,-(15)/(7))`
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