JEE Main 2021 — Parabola Question with Solution
From: JEE Main 2021 (Online) 16th March Morning Shift
Question
If the three normals drawn to the parabola, y2 = 2x pass through the point (a, 0) a 0, then 'a' must be greater than :
Choose an option
Show full solutionCorrect option: B
Correct answer
B1
Step-by-step explanation
Let the equation of the normal is
y = mx 2am am3
here 4a = 2 a =
y = mx m m3
It passing through A(a, 0) then
0 = am m m3
m = 0, a 1 m2 = 0
m2 = 2(a 1) > 0
a > 1
y = mx 2am am3
here 4a = 2 a =
y = mx m m3
It passing through A(a, 0) then
0 = am m m3
m = 0, a 1 m2 = 0
m2 = 2(a 1) > 0
a > 1
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This is a previous-year question from JEE Main 2021, covering the Parabola chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.