If the point with lies on the hyperbola

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

Problem

If the point

(k,4)

with

k>0

lies on the hyperbola

\dfrac{x^{2}}{9}-\dfrac{y^{2}}{16}=1

, then

k

equals (a)

\dfrac{3\sqrt{5}}{2}

(b)

2\sqrt{3}

(c)

3\sqrt{2}

(d)

\dfrac{3}{\sqrt{2}}