The line passing through the extremity \( A \) of the major axis and extremity \( B \) of the mi...

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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 its auxiliary circle at the point \( M \). Then the area of the triangle with vertices at \( A, M \), and \( O \) (the origin) is
(A) \( 31 / 10 \)
(B) \( 29 / 10 \)
(C) \( 21 / 10 \)
(D) \( 27 / 10 \)
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