JEE Advanced Mathematics question

Given the two ends of the latus rectum, the maximum number of parabolas that can be drawn is

(A)1
(B)2Correct
(C)0
(D)infinite

Answer: (B)

Solution

Let be the given ends of the latus rectum. The focus is the midpoint of , and the axis is the line through perpendicular to . Since the latus rectum has length , the vertex lies

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Question ID VK-108986