Question

The angle between the asymptotes of a hyperbola will be if the angle between the asymptote and transverse axis is ${30}^{\circ }$.

• A. ${90}^{\circ }$
• B. ${30}^{\circ }$
• C. ${60}^{\circ }$

Answer 1

The correct option is C ${60}^{\circ }$

Given: Angle between the asymptote and transverse axis is ${30}^{\circ }$

To Find: Angle between the asymptotes

We know that, the transverse axis of a hyperbola bisects the angle between the asymptotes.

Hence, the angle between the asymptotes will be $2\times {30}^{\circ }={60}^{\circ }$