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A tangent to a conic at a point on the curve is drawn perpendicular to the

  • A.latus rectum through the focus
  • B.normal at that point
  • C.axis of the conic at that point
  • D.directrix at the foot of the ordinate

Answer: B

Correct answer: normal at that point

The normal is by definition perpendicular to the tangent, so constructing one gives the other. In practice the normal is often easier to find first - for an ellipse it bisects the angle between the focal radii, and for a parabola it can be located from the focus and directrix - and the tangent is then drawn at right angles to it.

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