Q52 of 62 Page 11

5y2 – 9y2 = 36.


Dividing the equation by 36 on both sides, we have

= 36 ⇒ = 1

Comparing the equation with the standard equation = 1, we find that a = ,
b = 2 and c = = = Therefore the coordinates of foci are and that of vertices are . Also the eccentricity e = = = and the length of latus rectum is = = units.

More from this chapter

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50
9y2 – 4x2 = 36.

51
16x2 – 9y2 = 576.

53
49y2 – 16x2 = 784.

54
Vertices (± 2, 0), foci (± 3, 0)