JEE Main 2021MathematicsParabolaPosition Of Point And Chord Joining Of Two PointsmediumNumerical

JEE Main 2021Parabola Question with Solution

From: JEE Main 2021 (Online) 20th July Evening Shift

Question

If the point on the curve y2 = 6x, nearest to the point is (, ), then 2( + ) is equal to _____________.

Enter your answer

Show full solutionCorrect answer: 9
Correct answer
9

Step-by-step explanation

Let, is on the curve.

Normal at point P



Passes through







Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Parabola chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

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.