Q20 of 63 Page 202

If the distance between the foci of a hyperbola is 16 and its eccentricity is , then obtain the equation of the hyperbola.

Equation of Hyperbola =


Foci = (±ae, 0)


Distance between foci is 2ae = 16 (given)


e = √2


2 × a × √2 = 16



b2 = a2 (e2 - 1)




Equation is


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