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CGP EDU Academic Team
Published on: August 14, 2026
The locus of the mid point of the focal radii of a variable point moving on the parabola, y 2 = 4ax is a parabola whose
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b,c,d)

h =
, k =
⇒ α = 2h – a, β = 2k
α , β satisfies the parabola
∴ β 2 = 4a α ⇒ 4k 2 = 4a(2h – a) ⇒ y 2 = a(2x – a) ⇒ y 2 = 2a 
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