JEE Main 2022 — Parabola Question with Solution
From: JEE Main 2022 (Online) 26th June Morning Shift
Question
Let the normal at the point on the parabola y2 = 6x pass through the point (5, 8). If the tangent at P to the parabola intersects its directrix at the point Q, then the ordinate of the point Q is :
Choose an option
Show full solutionCorrect option: B
Step-by-step explanation
Let P(at2, 2at) where a =
T : yt = x + at2 So point Q is
N : y = tx + 2at + at3 passes through (5, 8)
8 = 5t + 3t + t3
3t3 4t + 16 = 0
(t + 2) (3t2 6t + 8) = 0
t = 2
So ordinate of point Q is .
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