JEE Main 2016 — Parabola Question with Solution
From: JEE Main 2016 (Offline)
Question
Let be the point on the parabola, which is at a minimum distance from the centre of the circle, . Then the equation of the circle, passing through and having its centre at is:
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
Minimum distance perpendicular distance
of normal at
It passes through
Center of new circle
Radius
Equation of the circle is
of normal at
It passes through
Center of new circle
Radius
Equation of the circle is
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This is a previous-year question from JEE Main 2016, 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.