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The number of parabolas that can be dra...

The number of parabolas that can be drawn , if two ends of the latus rectum are given, is

A

1

B

2

C

0

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
B
Let L, L' be the ends of the latusrectum of a parabola with focus S and vertex V.
Let V' be a point on VS such that V' S = VS.
Clearly, there can be another parabola with vertex V' and latusrectum LSS'
Thus, there are two parabolas.
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