Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let P : y 2 = 4x is a parabola and three normals to the parabola intersect at a point (15, 12). The feet of normals are called co-normal points
(i) Which one is not the normal that pass through given point
Text Solution
Verified by ExpertsThe correct answer is:
64
Ans.
(i)
Sol. y = x + 3
(ii)
Sol.Normal at 't' point is y = – tx + 2t + t 3 which passes through (h, k)........
t 3 + (2 – h) t – k = 0
Three roots of cubic equation exist if h > 2.
(iii)
Sol.
64 = 4a. 4 ⇒ a = 4 ⇒ a = 2 P: y 2 = 8x
NG = length of subnormal
= 4 tan θ
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