If the eccentricity of a hyperbola is `sqrt(3)`, the eccentricity of its conjugate hyperbola, is

Options

A. `sqrt(2)`
B. `sqrt(3)`
C. `sqrt((3)/(2))`
D. `2sqrt(3)`

Answer

C

Explanation

Let e and e' be the eccentricities of a hyperbola and its conjugate hyperbola.
Then, `(1)/(e^(2))+(1)/((e')^(2))=1`
`implies(1)/(3)+(1)/((e')^(2))=1impliese'=sqrt((3)/(2))`