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 )

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- Feb 13th 2011, 03:06 AMjacksComplex no.
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 ) - Feb 13th 2011, 03:58 PMSudharaka
Dear jacks,

Let,

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.