A hyperbola has its centre at the origin and its transverse axis along the -axis

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

Problem

A hyperbola has its centre at the origin and its transverse axis along the

x

-axis. The length of its transverse axis is

12

and its eccentricity is

\dfrac{5}{3}

. (i) Calculate the values of

a, b

and

c

. (ii) Obtain the standard equation of the hyperbola. (iii) Find the coordinates of the foci. (iv) Write the equations of the asymptotes.