The tangent at a point $P$ on an ellipse intersects the major axis at $T, a n d N$ is the foot of the perpendicular from $P$ to the same axis. Show that the circle drawn on $N T$ as diameter intersects the auxiliary circle orthogonally.

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The tangent at a point

P

on an ellipse intersects the major axis at

T, a n d N

is the foot of the perpendicular from

P

to the same axis. Show that the circle drawn on

N T

as diameter intersects the auxiliary circle orthogonally.

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