The line passing through the extremity `A` of the major exis and extremity `B` of the minor axis of the ellipse `x^2+9y^2=9` meets is auxiliary circle at the point `Mdot` 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`

Options

A. `31//10`
B. `29//10`
C. `21//10`
D. `27//10`

Explanation

To solve the problem, we will follow these steps:

### Step 1: Identify the ellipse and its parameters
The given ellipse is \( x^2 + 9y^2 = 9 \). We can rewrite this in standard form:
\[ \frac{x^2}{9} + \frac{y^2}{1} = 1 \]
From this, we identify the semi-major axis \( a = 3 \) and the semi-minor axis \( b = 1 \).
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