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A point A(2,1) is outside the circle x 2 + y 2 +2gx+2fy+c=0 and AP, AQ are tangents to the circle. The equation of the circle circumscribing the triangle APQ is? Explain your answer.

A point A(2,1) is outside the circle x2+ y2+2gx+2fy+c=0 and AP, AQ are tangents to the circle. The equation of the circle circumscribing the triangle APQ is?


Explain your answer.


 

Grade:upto college level

1 Answers

MuraliKrishna Medavaram
askIITians Faculty 33 Points
8 years ago

Here A,P,Q are concyclic with the centre of the circle ‘C’

As CAP is a right angle triangle with right angle at P circumcircle of triangle APQ is the circle with diameter as AC. Hence its equation is

please look into the attached file

thanks

regards

M.MURALIKRISHNA

ASKIITIANS FACULTY

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