Tangents drawn from the point P ( 1 , 8 ) to the circle x 2 + y 2 − 6 x − 4 y − 11 = 0 touch the circle at the points A and B . The equation of the circumcircle of △ P A B is

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For required circle, P ( 1 , 8 ) and O ( 3 , 2 ) will be the end point of its diameter. ​ ∴ ( x − 1 ) ( x − 3 ) + ( y − 8 ) ( y − 2 ) = 0 ⇒ x 2 + y 2 − 4 x − 10 y + 19 = 0 ​

Mathematics - Circle Question with Solution | TestHub

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