Chapter 10
16x2 - 9y2 = 576 5. 5y2 - 9x2 = 36 6. 49y2 - 16x2 = 784. In each of the Exercises 7 to 15, find the equations of the hyperbola satisfying the given conditions.
Vertices (± 2, 0), foci (± 3, 0)
Vertices (0, ± 5), foci (0, ± 8)
Vertices (0, ± 3), foci (0, ± 5)
Foci (± 5, 0), the transverse axis is of length 8.
Foci (0, ±13), the conjugate axis is of length 24.
Foci (± 3 5 , 0), the latus rectum is of length 8.
Foci (± 4, 0), the latus rectum is of length 12
vertices (± 7,0), e = 3 4 .
Foci (0, ± 10 ), passing through (2,3)