Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If two tangents drawn from the point ( α , β ) to the parabola y 2 = 4x be such that the slope of one tangent is double of the other then-
A
β = 
α 2
α 2
B
α = 
β 2
β 2
C
2 α = 9 β 2
D
None
Text Solution
Verified by ExpertsThe correct answer is:
B
Any tangent to the parabola y 2 = 4x is
y = mx + 
. It passes though ( α , β ) if
β = m α + 
or α m 2 – β m + 1 = 0.
It will have roots m 1 , 2m 1 if
m 1 + 2m 1 = 
, m 1 . 2m 1 = 
⇒ 2 . 
= 
.
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