Home
Class 11
MATHS
For the hyperbola x^2/a^2-y^2/b^2=1, th...

For the hyperbola `x^2/a^2-y^2/b^2=1`, the values of a and b, if the transverse axis is 8 and eccentricity 3, are:

A

`4,sqrt5`

B

`4,4sqrt8`

C

`4,sqrt10`

D

`4,sqrt7`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

For the standard hyperbola x^2/a^2-y^2/b^2=1 ,

Two tangents to the hyperbola x^2/a^2-y^2/b^2=1 make angles theta_1,theta_2 , with the transverse axis. Find the locus of their point of intersection if tantheta_1+tantheta_2=k .

Find the equation of the hyperbola in the form x^2/a^2-y^2/b^2=1 given that : transverse axis is 8 and e=3

The hyperbola x^2/a^2-y^2/b^2=1 passes through the point (2,3) and has eccentricity 2, then the transverse axis of the hyperbola has the length:

The eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 if the length of its latus rectum is equal to length of its semi conjugate axis, is:

Find the equation of the hyperbola in the form x^2/a^2-y^2/b^2=1 given that : length of conjugate axis is 8 and it passes through (5,1)

Find the equation of the hyperbola in the form x^2/a^2-y^2/b^2=1 given that : distance between the foci is 12 and e=3

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : length of the LR is 5/2 and eccentricity is sqrt3/2

Find the equation of the ellipse in the form x^2/a^2+y^2/b^2=1(a>b) , given : one of the foci is (3,0), eccentricity is 3/5 .

Find the equation of the hyperbola in the form x^2/a^2-y^2/b^2=1 given that : the distance between foci is 10 and LR=9/2