The distance of the point (6, -2√2) from the common tangent y = m… | JEE Main 2023 Mathematics PYQ | Jeeify

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MCQMediumJEE Main 2023 · 25 January, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

The distance of the point $\left(6, -2\sqrt{2}\right)$ from the common tangent $y = mx + c,\, m > 0$ , of the curves $x = 2y^2$ and $x = 1 + y^2$ is:

A
$\frac{1}{3}$
B
$5$
C
$\frac{14}{3}$
D
$5\sqrt{3}$

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