3
QuizMultiple Choice

Unit Test — Unit test

Question 3 • LAUSD-Pre-Calculus B (Prescriptive)

Which ratio of distances is constant for a point on a nondegenerate conic?

Answer
A
distance to center: distance to directrix
B
distance to focus: distance to vertex
C
distance to center: distance to vertex
D
distance to focus: distance to directrix

Explanation

A conic is defined by the property that, for each point on it, the ratio of its distance to a focus to its perpendicular distance to a corresponding directrix is constant. This constant is the conic’s eccentricity, so the correct choice is “distance to focus: distance to directrix.”

AI-written and checked against the verified answer.

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