Statement-`1` : If `5//3` is the eccentricity of a hyperbola, then the eccentricity of its conjugate
Channel: Doubtnut
Date: 2020-05-24

Statement-`1` : If `5//3` is the eccentricity of a hyperbola, then the eccentricity of its conjugate hyperbola is `5//4`.   Statement-`2` : If `e` and `e'` are the eccentricities of hyperbolas `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` and `(x^(2))/(a^(2))-(y^(2))/(b^(2))=-1` respectively, then `(1)/(e^(2))+(1)/(e'^(2))=1`.