Q51 of 62 Page 11

16x2 – 9y2 = 576.


Dividing the equation by 576 on both sides, we have

= 1 or = 1

Comparing the equation with the standard equation

= 1

we find that a = 6, b = 8 and

c = = = = 10

Therefore, the coordinates of foci are (± 10, 0) and that of vertices are (± 6, 0). Also, the eccentricity e = = and the length of latus rectum = = = units.

More from this chapter

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49
= 1

50
9y2 – 4x2 = 36.

52
5y2 – 9y2 = 36.

53
49y2 – 16x2 = 784.