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Question

Distance between the directrices of the ellipse 9x2+5y230y = 0 is


A

9/2

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B

18

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C

9

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D

12

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Solution

The correct option is C

9


9x2+5y230y = 0

9x2+5(y26y+9) = 45

x25+(y3)29 = 1, e = 159 = 23

The distance between the two directrices = 2be = 2×323 = 9


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