Conic Sections Question 152

Question: Tangents drawn at the ends of any focal chord of a parabola $ y^{2}=4ax $ intersect in the line

Options:

A) $ y-a=0 $

B) $ y+a=0 $

C) $ x-a=0 $

D) $ x+a=0 $

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Answer:

Correct Answer: D

Solution:

The tangents (at the end points of focal chord) cut orthogonally at the directrix i.e., $ x=-a $ or $ x+a=0 $ .