Consider the hyperbolas and .

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

Problem

Consider the hyperbolas

C_1:\,\dfrac{x^2}{25}-\dfrac{y^2}{9}=1

and

C_2:\,\dfrac{x^2}{9}-\dfrac{y^2}{4}=1

. (i) Calculate the eccentricity of

C_1

. (ii) Calculate the eccentricity of

C_2

. (iii) Which of the two hyperbolas is more open?