JEE Main 2021MathematicsParabolaEasyMCQ

JEE Main 2021 — Parabola Question with Solution

JEE Main 2021 (25 Feb Shift 1)

Question

A tangent is drawn to the parabola y2=6x which is perpendicular to the line 2x+y=1. Which of the following points does NOT lie on it?

Choose an option

Show full solutionCorrect option: C
Correct answer
C5,4

Step-by-step explanation

Slope of tangent =mT=m

So, m-2=-1⇒m=12

Equation: y=mx+am

⇒ y=12x+32×12   ∵a=64=32

⇒ y=x2+3

⇒ 2y=x+6

Point 5, 4 will not lie on it

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About this question

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.