JEE Main 2022MathematicsParabolaCommon TangentmediumMCQ

JEE Main 2022Parabola Question with Solution

From: JEE Main 2022 (Online) 26th July Evening Shift

Question

The equation of a common tangent to the parabolas and is

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

Equation of tangent of slope to

Equation of tangent of slope to

If both equation represent the same line

So, equation of tangent

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 2022, 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.