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Question

The eccentricity of the ellipse x2+4y2+2x+16y+13=0 is

A
32
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B
12
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C
13
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D
12
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Solution

The correct option is D 32
(x2+2x)+4(y2+4y)+13=0
(x2+2x+1)+4(y2+4y+4)=4
(x+1)2+4(y+2)2=4
(x+2)24+(y+2)21=1
Hence eccentricity =114=32

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