JEE Main 2013 — Parabola Question with Solution
From: JEE Main 2013 (Offline)
Question
Given : A circle, and a parabola, .
Statement-1 : An equation of a common tangent to these curves is .
Statement-1 : An equation of a common tangent to these curves is .
Statement-2 : If the line, is their common tangent, then satiesfies .
Choose an option
Show full solutionCorrect option: B
Correct answer
BStatement-1 is true; Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
Step-by-step explanation
Let common tangent be
Since, perpendicular distance from center of the circle to
the common tangent is equal to radius of the circle,
therefore
On squaring both the side, we get
( as )
both statements are correct as
satisfies the given equation of statement -
Since, perpendicular distance from center of the circle to
the common tangent is equal to radius of the circle,
therefore
On squaring both the side, we get
( as )
both statements are correct as
satisfies the given equation of statement -
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 2013, 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.