A hyperbola is centred at the origin with its transverse axis along the -axis

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

A hyperbola is centred at the origin with its transverse axis along the

x

-axis. Its vertices are at

(\pm5,0)

and its eccentricity is

\dfrac{3}{2}

. (i) Write its standard equation. (ii) Find the coordinates of its foci.