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Statement-1 : If 5//3 is the eccentricit...

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`.

A

`1`

B

`2`

C

`3`

D

`4`

Text Solution

AI Generated Solution

To solve the problem, we need to analyze both statements and verify their correctness step by step. ### Step 1: Understand the eccentricity of hyperbolas The eccentricity \( e \) of a hyperbola given by the equation \[ \frac{x^2}{a^2} - \frac{y^2}{b^2} = 1 \] ...
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