JEE Main 2023 — Parabola Question with Solution
From: JEE Main 2023 (Online) 30th January Evening Shift
Question
Let be a point on the -axis. Common tangents are drawn from to the curves and . If one of these tangents touches the two curves at and , then is equal to :
Choose an option
Show full solutionCorrect option: D
Correct answer
D72
Step-by-step explanation
Let a tangent on be
For common to
Taking one of the tangent
Point of tangency with
&
and for
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This is a previous-year question from JEE Main 2023, 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.