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Question

The eccentricity of the ellipse 9x2+5y2−30y=0 is=

A
13
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B
23
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C
34
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D
None of these
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Solution

The correct option is D 23
9x2+5(y26y)=0
9x2+5(y26y+9)=45
9x2+5(y3)2=45
x25+(y3)29=1
a2<b2
a2=b2(1e2)
5=9(1e2)
59=1e2
e2=49
e=23

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