If e and e' are the eccentricities of a ...

If e and e' are the eccentricities of a hyperbola and its conjugate, then the locus of the points (e,e') is

A

`x^2-y^2=1`

B

`x^2+y^2=1`

C

`1/x^2+1/y^2=1`

D

`x^2-y^2=2`

Verified by Experts

Similar Questions

Explore conceptually related problems

If e and e' are the eccentricities of a hyperbola and its conjugate hyperbola respectively then prove that 1/e^2+1/(e')^2=1

If e_1 and e_2 are the eccentricities of a parabola and ellipse respectively, then:

If e_1 and e_2 are the eccentricities of a hyperbola and its conjugate, prove that: 1/e_1^2+1/e_2^2=1

Find the eccentricity of the hyperbola wich is conjugate to the hyperbola x^2-3y^2=3 .

If e_1 and e_2 be the eccentricities of two conjugate hyperbola, then 1/e_1^2+1/e_2^2 is :

If e_1 and e_2 are the eccentricities of the hyperbola x^2/a^2-y^2/b^2=1 and y^2/b^2-x^2/a^2=1 then show that 1/e_1^2+1/e_2^2=1 .

If e and e' be the eccentricities of two conics S=0 and S'=0 and if e^(2)+e'^(2)=3 , then both S and S' can be

The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=1 is

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