Let PQ be a chord of the hyperbola x²/4 - y²/b² = 1, perpendicula… | JEE Main 2026 Mathematics PYQ

MCQMediumJEE Main 2026 · 23 January, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

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 OPQ is

A
$\frac{11}{5}$
B
$\frac{9}{5}$
C
$\frac{8\sqrt{3}}{5}$
D
$2\sqrt{3}$

Answer & step-by-step solution

Practice more Conic Sections (Parabola, Ellipse, Hyperbola) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Conic Sections (Parabola, Ellipse, Hyperbola)

Answer & step-by-step solution

Practice more Conic Sections (Parabola, Ellipse, Hyperbola) questions

Related questions