Question

The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x² + 9y² = 9 meets its auxiliary circle at the point M. Then the area of the triangle with vertices at A, M and the origin O is

(a) 31/10 (b) 29/10 (c) 21/10 (c) 27/10

Answer 1

Correct option:(c) 27/10

Explanation:

 Equation of auxiliary circle is

On solving Eqs. (i) and (ii), we get