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CGP EDU Academic Team
Published on: August 14, 2026
Tangents are drawn from a point P to the parabola y 2 = 8x such that the slope of one tangent is twice the slope of other. The locus of P is
Text Solution
Verified by ExpertsThe correct answer is:
C
y 2 = 8x, a = 2 ⇒ 2y 
⇒ 
m 1 = 2m 2 ⇒ 1/t 1 = 2t 2 … (i)
K = a(t 1 + t 2 ) = 2(t 1 + t 2 ) = 2(3t 1 ) ⇒ t 1 = K/6
⇒ t 2 = K/3
Now, h = at 1 t 2 ⇒ h = 2 ⋅ k/6 ⋅ k/3 ⇒ k 2 = 9h
Lows of P y 2 = 9x
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