If the points of intersection of two distinct conics x² + y² = 4b… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 29 January, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

If the points of intersection of two distinct conics $x^2 + y^2 = 4b$ and $\frac{x^2}{16} + \frac{y^2}{b^2} = 1$ lie on the curve $y^2 = 3x^2$ , then $3\sqrt{3}$ times the area of the rectangle formed by the intersection points is:

A
$216$
B
$432$
C
$108$
D
$324$

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