The hyperbola is given by x=at+a−t2 and y=at−a−t3,t∈R & a>0.Le – InterviewSolution

1.	The hyperbola is given by x=at+a−t2 and y=at−a−t3,t∈R & a>0.Let e,e′ be the eccentricities of the given hyperbola and its conjugate hyperbola respectively, then the value of 8e′2 is
Answer» The hyperbola is given by $x = \frac{a^{t} + a^{- t}}{2}$ and $y = \frac{a^{t} - a^{- t}}{3}, t \in R & a > 0.$ Let $e, e^{'}$ be the eccentricities of the given hyperbola and its conjugate hyperbola respectively, then the value of $8 e^{' 2}$ is

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