Home
Class 12
MATHS
Angle between the asymptotes of a hyperb...

Angle between the asymptotes of a hyperbola is `30^(@)` then e=

A

`sqrt6`

B

`sqrt2`

C

`sqrt6-sqrt2`

D

`sqrt6-sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Angle between the asymptotes of a hyperbola is x^(2)-3y^(2)=1 is a) 15^(@) b) 45^(@) c) 60^(@) d) 30^(@)

The angle between the asymptotes of the hyperbola x^(2) -3y^(2) =3 is

The angle between the asymptotes of the hyperbola x^(2) -3y^(2) =3 is

The angle between the asymptotes of the hyperbola 3x^(2)-y^(2)=3 , is

The angle between the asymptotes of the hyperbola xy= a^2 is

The angle between the asymptotes of the hyperbola 2x^(2)-2y^(2)=9 , is

The angle between the asymptotes of the hyperbola 27x^(2)-9y^(2)=24 , is

Show that the acute angle between the asymptotes of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,(a^2> b^2), is 2cos^(-1)(1/e), where e is the eccentricity of the hyperbola.

Find the angle between the asymptotes of the hyperbola (x^2)/(16)-(y^2)/9=1 .

Find the angle between the asymptotes of the hyperbola (x^2)/(16)-(y^2)/9=1 .