Q6 of 71 Page 27

Find the equation of the hyperbola, referred to its principal axes as axes of coordinates, in the following cases:

the distance between the foci = 16 and eccentricity =

Given: the distance between the foci = 16 and eccentricity


To find: the equation of the hyperbola


Formula used:


For hyperbola:



Distance between the foci is 2ae and b2 = a2(e2 – 1)


Therefore


2ae = 16







b2 = a2(e2 – 1)





Equation of hyperbola is:




Hence, required equation of hyperbola is x2 – y2 = 32


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