Home
Class 11
MATHS
The latus rectum of an ellipse is 10 and...

The latus rectum of an ellipse is 10 and the minor axis Is equal to the distnace betweent the foci. The equation of the ellipse is

A

`x ^(2) + 2y ^(2) =100`

B

`x ^(2) + sqrt2 y ^(2) =10`

C

`x ^(2) -2y ^(2) =100`

D

`sqrt2 x ^(2) + y ^(2) =10`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

The length of the latus rectum of an ellipse is 1/3 of the major axis. Its eccentricity is

Eccentricity of the ellipse whose latus rectum is equal to the distnce between two focus points, is

An ellipse drawn by taking a diameter of the circle (x-1)^(2)+y^(2)=1 as its semiminor axis and a diameter of the circle x^(2)+(y-2)^(2)=4 as its semi-major axis. If the centre of the ellipse is at the origin and its axes are the coordinate axes, then the equation of the ellipse is

The lengths of major and minor axis of an ellipse are 10 and 8 respectively and its major axis is along the Y-axis. The equation of the ellipse referred to its centre as origin is

The latus rectum of the ellipse 9x^2+16y^2=144 , is:

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

If the latusrectum of an ellipse is equal to one half of its minor axis , then eccentricity is equal to

If the eccentricity of an ellipse is 5/8 and the distance between its foci is 10 , then find the latusrectum of the ellipse.