Find the equation of the hyperbola, referred to its principal axes as axes of coordinates, in the following cases: (i) the distance between the foci = 16 and eccentricity = √2 (ii) conjugate axis is 5 and the distance between foci = 13

(i) the distance between the \[foci\text{ }=\text{ }16\text{ }and\text{ }eccentricity\text{ }=\text{ }\surd 2\] Given: Distance between the foci \[=\text{ }16\] Eccentricity \[=\text{ }\surd 2\] Let...

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