Q49 of 62 Page 11

= 1


Comparing the equation = 1 with the standard equation = 1

We have, a = 3, b = 3

and c = = = = 6

Therefore, the coordinates of the foci are (0, ± 6) and that of vertices are (0, ± 3). Also, the eccentricity e = = and the length of the latus rectum = = = = 18 units.

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47
Find the equation for the ellipse that satisfies the given conditions: Major axis on the x-axis and passes through the points (4,3) and (6,2).

48
= 1

50
9y2 – 4x2 = 36.

51
16x2 – 9y2 = 576.