Chapter 10
36x2 + 4y2 = 144 8. 16x2 + y2 = 16 9. 4x2 + 9y2 = 36 In each of the following Exercises 10 to 20, find the equation for the ellipse that satisfies the given conditions:
Vertices (± 5, 0), foci (± 4, 0)
Vertices (0, ± 13), foci (0, ± 5)
Vertices (± 6, 0), foci (± 4, 0)
Ends of major axis (± 3, 0), ends of minor axis (0, ± 2)
Ends of major axis (0, ± 5 ), ends of minor axis (± 1, 0)
Length of major axis 26, foci (± 5, 0)
Length of minor axis 16, foci (0, ± 6).
Foci (± 3, 0), a = 4
b = 3, c = 4, centre at the origin; foci on the x axis.
Centre at (0,0), major axis on the y-axis and passes through the points (3, 2) and (1,6).
Major axis on the x-axis and passes through the points (4,3) and (6,2).