If e(1) and e(2) represent the eccentric...

If `e_(1)` and `e_(2)` represent the eccentricity of the curves `16x^(2)+9y^(2) = 144` and `9x^(2) - 16y^(2) = 144` respectively . Then

A

`e_1^2-e_2^2=1`

B

`e_1^2-e_2^2lt3`

C

`e_1^2-e_2^2=3`

D

`e_1^2-e_2^2gt3`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

The eccentricity of the ellipse 5 x^(2)+9 y^(2)=1 is

The curves 4x^(2) + 9y^(2) = 72 and x^(2) - y^(2) = 5 at (3,2)

The eccentricity of the ellipse 9x^(2) + 25y^(2) = 225 is

Find the eccentricity of the ellipse x^2/4+y^2/16=1

The eccentricity of the hyperbola 4 x^(2)-9 y^(2)=2 a x+b^(2) is

Find the eccentricity of the ellipse 25x^2+16y^2=400 .

Find the eccentricity of the ellipse (x^2)/(9)+(y^2)/(4)=1

If e and e^(prime) are the eccentricities of the ellipse 5 x^(2)+9 y^(2)=45 and the hyperbola 5 x^(2)-4 y^(2)=45 respectively, then ee'=