If the distance between foci of a hyperb...

If the distance between foci of a hyperbola is twice the distance between its directrices, then the eccentricity of conjugate hyperbola is :

A

`2`

B

`sqrt(3)`

C

`sqrt(2)`

D

`3/2`

Verified by Experts

The correct Answer is:

C

`2ae=2xx(2a)/e , e^2= 2 rArr e=sqrt2`
`because 1/e_H^2 + 1/e_(CH)^2=1 rArr e_(CH)=sqrt2`

Similar Questions

Explore conceptually related problems

If m times distance between foci of an ellipse is equal to n times distance between its directrices , then

Distance between foci of a hyperbola is double the distance between its vertices . If the length of its conjugate axis is 6, then equation is

Can the distance between foci of an ellipse be equal to distance its directrices ?

If the distance between the directrices is thrice the distance between the foci, then find eccentricity of the ellipse.

If the distance foci of an ellipse is 8 and distance between its directrices is 18 , then the equation of the ellipse is

If the distance between two directrices of a rectangular hyperbola is 15, then the distance between its foci in units is:

The distance between foci of a hyperbola is 16 and its eccentricity is sqrt2 , then the equation of hyperbola is