The line passing through the extremity of the major axis and extremity of the minor…

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The line passing through the extremity

A

of the major axis and extremity

B

of the minor axis of the ellipse

x^2 + 9y^2 = 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 (1)

\frac{31}{10}

(2)

\frac{29}{10}

(3)

\frac{21}{10}

(4)

\frac{27}{10}