JEE Main 2026 — Hyperbola Question with Solution
JEE Main 2026 (23 January Shift 2)
Question
Let PQ be a chord of the hyperbola , perpendicular to the x -axis such that OPQ is an equilateral triangle, O being the centre of the hyperbola. If the eccentricity of the hyperbola is , then the area of the triangle OPQ is
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Hyperbola with . .
Let , .
For equilateral :
.
From the hyperbola:
.
Area .
Let , .
For equilateral :
.
From the hyperbola:
.
Area .
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This is a previous-year question from JEE Main 2026, covering the Hyperbola 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.