Home
Class 11
MATHS
If the area of the auxiliary circle of t...

If the area of the auxiliary circle of the ellipse `(x ^(2))/(a ^(2)) + (y ^(2))/(b ^(2)) =1 (a gt b)` is twice the area of the ellipse, then the eccentricity of the ellipse is

A

`(1)/(sqrt2)`

B

`(sqrt3)/(2)`

C

`(1)/(sqrt3)`

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

The auxiliary equation of circle of hyperbola (x ^(2))/(a ^(2)) - (y^(2))/(b ^(2)) =1, is

If the equation of ellipse is (x ^(2))/(a ^(2)) + (y ^(2))/(b ^(2))=1 then SP+S'P=

The centre of the ellipse ((x+y-2)^(2))/(9) + ((x -y )^(2))/(16) =1 is

The equation of the directrice of the ellipse 16x ^(2) + 25 y ^(2)= 400 are

For the ellipse (x ^(2))/(64) + (y^(2))/(28)=1, the eccentricity is