Let PQ be a chord of the hyperbola... | Hyperbola | JEE Main 2026

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JEE MAIN 2026

23-01-2026 S2

Question

Let PQ be a chord of the hyperbola $\frac{x^2}{4}-\frac{y^2}{b^2}=1$, 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 $\sqrt{3}$, then the area of the triangle $O P Q$ is

Select the correct option:

A

$2 \sqrt{3}$

B

$\frac{8 \sqrt{3}}{5}$

C

$\frac{11}{5}$

D

$\frac{9}{5}$

✓ Correct! Well done.

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