Home
Class 12
MATHS
Write the eccentricity of the hyperbola ...

Write the eccentricity of the hyperbola whose latus rectum is half of its transverse axis.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt((3)/(2))`
Promotional Banner

Topper's Solved these Questions

  • HYPERBOLA

    ARIHANT MATHS|Exercise Example|7 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise JEE Type Solved Examples : Matching Type Questions|1 Videos

  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

The eccentricity of the hyperbola whose latus rectum is half of its transverse axis is:

The eccentricity of the hyperbola whose latus-rectum is 8 and length of the conjugate axis is equal to half the distance between the foci, is

Find the eccentricity of the ellipse if : the latus-rectum is one half of its minor axis.

Find the eccentricity of the ellipse if : the latus-rectum is one half of its major axis.

The eccentricity of the ellipse x^2/a^2+y^2/b^2=1 , if its latus rectum is half of its minor axis, is :

Find the eccentricity of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 whose latus rectum is half of its major axis.

Find the equation of the parabola whose latus-rectum is 4 units , axis is the line 3x+4y-4=0 and the tangent at the vertex is the line 4x-3y+7=0.

A parabola is drawn whose focus is one of the foci of the ellipse x^2/a^2 + y^2/b^2 = 1 (where a>b) and whose directrix passes through the other focus and perpendicular to the major axes of the ellipse. Then the eccentricity of the ellipse for which the length of latus-rectum of the ellipse and the parabola are same is

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. y^2/9-x^2/27=1

In the following, find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas. x^2/16-y^2/9=1