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Let P be any point on any directrix of ...

Let `P` be any point on any directrix of an ellipse. Then the chords of contact of point `P` with respect to the ellipse and its auxiliary circle intersect at (a)some point on the major axis depending upon the position of point `Pdot` (b)the midpoint of the line segment joining the center to the corresponding focus (c)the corresponding focus (d)none of these

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