A hyperbola has its foci at and

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

Problem

A hyperbola has its foci at

F_{1}(-5,0)

and

F_{2}(5,0)

. If the point

P(4,3)

lies on the hyperbola, find the length of its semi-transverse axis

a

. (a)

5

(b)

2\sqrt{10}

(c)

\sqrt{10}

(d)

\sqrt{6}