Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Consider a focal chord PQ of the parabola y 2 = 4ax, a ∈ ∈ R + . Tangent drawn at P and normal drawn at Q meet the axis of the parabola at T and N respectively. Let P be (at 2 , 2at). If angle between PT and QN is ‘ α α ’ and distance between PT and QN is ‘d’, then
A
d = 
B
0 0 < α α < 90 0
C
d = 0
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
PQ is the focal chord so that co-ordinates of P and Q are (at 2 , 2at) and (a/t 2 , –2a/t) respectively.
Since the tangents at P and Q to the parabola re perpendicular to each other,
PT and QN are parallel ⇒ ⇒ α α = 0 0
Also, d = 
= 
.
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