Question

The eccentricity of a hyperbola can be find out if:

• A. Length of major axis is known
• B. Length of latus rectum is known
• C. Angle between asymptotes is known
• D. Equations of transverse and conjugate axes are known

Answer 1

Answer: (C)

Angle between asymptotes is known

Answer 2

Angle between rectangular hyperbola (asymptotes) is 2 tan^-1 $\frac{b}{a}$, if it is known then $\frac{b}{a}$ is known on $\sqrt{1 + \frac{b^{2}}{a^{2}}}$ i.e., eccentricity is known.