Home
Class 12
MATHS
If the eccentricity of the ellipse a x^(...

If the eccentricity of the ellipse `a x^(2) + 4y^(2) = 4a, (a lt 4)` is `(1)/(sqrt(2))`, then its semi-minor axis is equal to a)2 b)`sqrt(2)` c)1 d)`sqrt(3)`

A

2

B

`sqrt(2)`

C

1

D

`sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The eccentricity of the ellipse x^(2)+(y^(2))/(4)=1 is

The eccentricity of the hyperbola x ^(2) - y ^(2) = 4 is :a) sqrt3 b) 2 c) 1.5 d) sqrt2

The eccentricity of the ellipse (x-1)^(2)/(2)+(y+3/4)^(2)=1/16 is

sin 765^(@) is equal to a)1 b)0 c) sqrt(3)//2 d) 1//sqrt2

The eccentricity of the hyperbola 4x^(2) - y^(2) - 8x - 8y - 28 =0 is a)3 b) sqrt5 c) 2 d) sqrt7

1/(cos80^(@))-sqrt(3)/(sin80^(@)) is equal to a) sqrt(2) b) sqrt(3) c)2 d)4

If f(x) = cos^(-1) ((2 cos x + 3 sin x)/( sqrt(13) ) ) , then [f' (x)]^2 is equal to a) sqrt(1+x) b) 1+2x c) 2 d) 1

If the eccentricities of the ellipse x^(2)/4+y^(2)/3=1 and the hyperbola x^(2)/64-y^(2)/b^(2)=1 are reciprocals of each other, then b^(2) is equal to :a)192 b)64 c)16 d)32