Q53 of 62 Page 11

49y2 – 16x2 = 784.


Dividing the equation by 784 on both sides, we have

= 1 ⇒ = 1

Comparing the equation with the standard equation = 1, we find t hat d = 4, b = 7 and c = = =

Therefore the coordinates of foci are (0, ± ) and that of vertices are (0, ± 4). Also the eccentricity e = =and the length of latus rectum is

=

More from this chapter

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51
16x2 – 9y2 = 576.

52
5y2 – 9y2 = 36.

54
Vertices (± 2, 0), foci (± 3, 0)

55
Vertices (0, ± 5), foci (0, ± 8)