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The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse `x^(2)+9 y^(2)=9` meets the auxiliary circle at the point M. Then the area of the triangle with vertices A, M and the origin O is

A

`(31)/(10)`

B

`(29)/(10)`

C

`(21)/(10)`

D

`(27)/(10)`

Text Solution

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The correct Answer is:
D
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