Home
Class 12
MATHS
I the latus rectum through one focus of ...

I the latus rectum through one focus of a hyperbola subtends a right angle at the farther vertex, hen write the eccentricity of the hyperbola.

A

`sqrt2`

B

2

C

`sqrt(3/2)`

D

`3/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If the latus rectum through one focus subtends a right angle at the farther vertex of the hyperbola then its eccentricity is

If a latus rectum of an ellipse subtends a right angle at the centre of the ellipse, then write the eccentricity of the ellipse.

If the latusrectum subtends a right angle at the centre of the hyperbola then its eccentricity

If the latursrectum of a hyperbola through one foucs subtends 60^(@) angle at the other focus, then its eccentricity e , is

The length of the transverse axis and the conjugate axis of a hyperbola is 2a units and 2b units repectively. If the length of the latus rectum is 4 units of the conjugate axis is equal to one-third of the distance between the foci, then the eccentricity of the hyperbola is

If the latus rectum of a hyperbola forms an equilateral triangle with the vertex at the center of the hyperbola ,then find the eccentricity of the hyperbola.

If the latus rectum of a hyperbola forms an equilateral triangle with the vertex at the center of the hyperbola ,then find the eccentricity of the hyperbola.

If the latus rectum of a hyperola forms an equilateral triangle with the centre of the hyperbola, then its eccentricity is

If the latus rectum subtends a right angle at the center of the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , then find its eccentricity.

If the normal at a point P to the hyperbola meets the transverse axis at G, and the value of SG/SP is 6, then the eccentricity of the hyperbola is (where S is focus of the hyperbola)