JEE Advanced 2009 Mathematics question

MathematicsEllipseJEE Advanced 2009

The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse

+ = 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

Answer: (D)

Solution

: A = (3, 0), B = (0, 1); line AB: x + 3y = 3. Auxiliary circle . Substituting x = 3 − 3y: 9y^2y^210y^2$ = 18y

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Question ID VK-037695