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What is the eccentricity of the conic `4x^(2)+9y^(2)=144`?

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What is the eccentricity of the conic `4x^(2)+9y^(2)=144`?
A. `sqrt5/3`
B. `sqrt5/4`
C. `3/sqrt5`
D. `2/3`
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Correct Answer - A
Given equation can be written as
`x^(2)/(36)+y^(2)/(16)=1` ltbtgt This is an ellipse.
`rArra^(2)=36, b^(2)=16`
`e=sqrt(1-b^(2)/a^(2))=sqrt(1-16/36)=sqrt(20/36)=(2sqrt5)/6=sqrt5/3`
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