EllipseHard

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

Options

A.
B.
C.
D.

Solution

Equation of line AM is x + 3y - 3 = 0
Perpendicular distance of line from origin =
Length of AM = 2
⇒ Area = sq. units.

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