The radius of the smallest circle which touches the parabolas y =… | JEE Main 2025 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2025 · 3 April, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

The radius of the smallest circle which touches the parabolas $y = x^2 + 2$ and $x = y^2 + 2$ is

A
$\frac{7\sqrt{2}}{2}$
B
$\frac{7\sqrt{2}}{16}$
C
$\frac{7\sqrt{2}}{4}$
D
$\frac{7\sqrt{2}}{8}$

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