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CGP EDU Academic Team
Published on: August 13, 2026
If the normal to the parabola y 2 = 4ax at the point (at 2 , 2at) cuts the parabola again at (aT 2 , 2aT), then
Text Solution
Verified by ExpertsThe correct answer is:
A
Equation of normal to the parabola y 2 = 4ax at the point (at 2 , 2at) is y + tx = 2at + at 3 . . . . .(i)
(i) cuts the parabola again at (aT 2 , 2aT).
Then, 2aT + t aT 2 = 2at +at 3
⇒ ⇒ 2a(T – t) = – at(T 2 – t 2 ) ⇒ ⇒ 2 = – t(T + t) [t ≠ ≠ T]
⇒ ⇒ t 2 + tT + 2 = 0.
Since t is real T 2 – 4.2.1 ≥ ≥ 0 ⇒ ⇒ T 2 ≥ ≥ 8
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