On the parabola

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

On the parabola

y^{2}=8x

, the distance of a point

P(x,y)

from the focus equals

5\sqrt2

. The ordinate(s) of

P

are (a)

\{\,\sqrt{40\sqrt2+16},\,-\sqrt{40\sqrt2+16}\,\}

(b)

\{\,\sqrt{32\sqrt2-16},\,-\sqrt{32\sqrt2-16}\,\}

(c)

\{\,\sqrt{40\sqrt2-16},\,-\sqrt{40\sqrt2-16}\,\}

(d)

\{\,\sqrt{32+8\sqrt2},\,-\sqrt{32+8\sqrt2}\,\}