JEE Main 2026 — Parabola Question with Solution
JEE Main 2026 (23 January Shift 2)
Question
An equilateral triangle OAB is inscribed in the parabola with the vertex O at the vertex of the parabola. Then the minimum distance of the circle having as a diameter from the origin is
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Parabola has vertex . By symmetry, let , .
, .
For equilateral: .
, .
Circle with as diameter: centre , radius .
Minimum distance from origin .
, .
For equilateral: .
, .
Circle with as diameter: centre , radius .
Minimum distance from origin .
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This is a previous-year question from JEE Main 2026, 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.