The hyperbola passes through the point

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

Problem

The hyperbola

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

passes through the point

(10,6)

. Find the value of

a^{2}

. (a)

\dfrac{400}{7}

(b)

\dfrac{100}{13}

(c)

\dfrac{400}{13}

(d)

\dfrac{13}{400}