A tangent is drawn to to cut at points P and Q. If tangent at P and Q to the ellipse intersect at right angle, then
1
2
3
4
Let tangents to at P and Q intersect at (h, k) at right angle
(director circle)
and chord of contact PQ is given by
which is tangent to
Equation of tangent to is
Equation (2) and (3) represent the same line
Comparing with equation (1),
Hence
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