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Let F1 and F2 be the foci of an ellipse, and let PT and PN be the tangent and normal to the ellipse at a point P. Which statement is correct?

1. PN bisects angle F1 P F2
2. PT bisects angle F1 P F2
3. PT bisects the angle (180 deg - angle F1 P F2)
4. None of these

Correct answer: PN bisects angle F1 P F2

Solution

By the reflective property of the ellipse, the normal at P bisects the angle between the focal radii PF1 and PF2.

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