JEE Main 2022 — Parabola Question with Solution
From: JEE Main 2022 (Online) 24th June Morning Shift
Question
Let x2 + y2 + Ax + By + C = 0 be a circle passing through (0, 6) and touching the parabola y = x2 at (2, 4). Then A + C is equal to ___________.
Choose an option
Show full solutionCorrect option: A
Correct answer
A16
Step-by-step explanation
For tangent to parabola at
Equation of tangent is
Family of circle can be given by
As it passes through
Equation of circle is
So,
Equation of tangent is
Family of circle can be given by
As it passes through
Equation of circle is
So,
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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.