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

If e and e' 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 the point `((1)/(e),(1)/(e'))` lies on the circle:

A

`x^(2)+y^(2)=1`

B

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

C

`x^(2)+y^(2)=3`

D

`x^(2)+y^(2)=4`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

Eccentricity of the hyperbola (x^(2))/(16)-(y^(2))/(25)=1 is

The eccentricity of the hyperbola (x^(2))/(16)+(y^(2))/(25)=1 is...

If e is the eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , (altb) then

The eccentricity of the hyperbola (sqrt(1999))/(3)(x^(2)-y^(2))=1 is

If e_1 and e_2 are eccentricities of two hyperbolas : x^2/a^2-y^2/b^2=1 and x^2/b^2-y^2/a^2=1 , then :

If e_(1) is the eccentricity of ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and e_(2) is the eccentricity of (x^(2))/(b^(2))+(y^(2))/(a^(2))=1 then

If e and e' be the eccentricities of a hyperbolas xy=c^2 and x^2-y^2=c^2 , then e^2+e'2 equals :

If e_(1)ande_(2) are the ecentricities of a hyperbola 3x^(2)-2y^(2)=25 and its conjugate , then

If e and e^(prime) are eccentricities of a hyperbola its conjugate, then (1)/(e^(2))+(1)/((e^(1))^(2))=

Find the equations of the tangent and normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x^(0), y^(0)).