The hyperbola has semi-transverse axis and semi-conjugate axis .

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

Problem

The hyperbola

\dfrac{x^{2}}{25}-\dfrac{y^{2}}{144}=1

has semi-transverse axis

a=5

and semi-conjugate axis

b=12

. (i) Calculate the distance

c

of each focus from the centre. (ii) Hence find the eccentricity

e

of the hyperbola.