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11. Conic Sections
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Q48 of 62 Page 11

= 1


Comparing the equation = 1 with the standard equation = 1.

We have, a = 4, b = 3

and c = = = = 5

Therefore, the coordinates of the foci are (± 5, 0) and that of vertices are (± 4, 0). Also, the eccentricity e = = and the length of latus rectum

= = = units.

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46
Find the equation for the ellipse that satisfies the given conditions: Centre at (0,0), major axis on the y-axis and passes through the points (3, 2) and (1,6).

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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).

49
= 1

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9y2 – 4x2 = 36.

Questions · 62
11. Conic Sections
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