If and are Complex no. Representing The Vertices of a Triangle inscribed in . The
Altitude Through meets the Circumcircle in , Then The Complex no. Corrosponding To is =
(Ans in Terms of and )
Then write the gradient of the line. Let it be .
Since and are perpendicular you could find the gradient of the line by,
Then you could fine the equation of the line. Hint: You know the gradient and a point on the line. Let the equation be ----(1)
The equation of the circle could be written as, -----------(2)
Using equations (1) and (2) you can find the point P.