The foci of a hyperbola are at and

MATHEMATICS · Multi-part · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The foci of a hyperbola are at

(-10,0)

and

(10,0)

. The hyperbola passes through the point

(8,6)

. (a) Find the values of

a

and

b

. (b) Hence, write the equation of the hyperbola.