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 =

Question

Philoid · Accepted Answer

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

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 =

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 =