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CGP EDU Academic Team
Published on: August 13, 2026
A tangent to the parabola y 2 = 4ax meets the x-axis in T and the tangent at the vertex A in P, If TAPQ is a rectangle, then the locus of Q is
Text Solution
Verified by ExpertsThe correct answer is:
A
The equation of tangent to the parabola at 't' is yt = x+at 2 .
Put y = 0 ⇒ ⇒ x = -at 2 ∴ ∴ T = (-at 2 , 0)
Put x = 0 ⇒ ⇒ y = at ∴ ∴ P = (0, at)
Let Q = (x, y) then from figure (x, y) = (-at 2 , at) ⇒ ⇒ y 2 + ax = 0.
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