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If the semi-major axis of an ellipse is ...

If the semi-major axis of an ellipse is 3 and the latus rectum is `16/(9)`, then the standard equation of the ellipse is a)`x^(2)/(9)+y^(2)/(8)=1` b)`x^(2)/(8)+y^(2)/(9)=1` c)`x^(2)/(9)+(3y^(2))/(8)=1` d)`(3x)^(2)/(8)+y^(2)/(9)=1`

A

`x^(2)/(9)+y^(2)/(8)=1`

B

`x^(2)/(8)+y^(2)/(9)=1`

C

`x^(2)/(9)+(3y)^(2)/(8)=1`

D

`(3x)^(2)/(8)+y^(2)/(9)=1`

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The correct Answer is:
A
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