JEE Main 2022 — Parabola Question with Solution
From: JEE Main 2022 (Online) 25th July Morning Shift
Question
The sum of diameters of the circles that touch (i) the parabola at the point and (ii) the -axis, is equal to ______________.
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Show full solutionCorrect answer: 10
Correct answer
10
Step-by-step explanation
Equation of tangent to the parabola at
Equation of circle touching the given parabola at can be taken as
If this circle touches -axis then
Radius or 4
Sum of diameter
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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.