Let a circle of radius 4 be concentric to the ellipse 15x² + 19y²… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 10 April, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Let a circle of radius $4$ be concentric to the ellipse $15x^2 + 19y^2 = 285$ . Then the common tangents are inclined to the minor axis of the ellipse at the angle:

A
$\frac{\pi}{6}$
B
$\frac{\pi}{12}$
C
$\frac{\pi}{3}$
D
$\frac{\pi}{4}$

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