﻿ 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 the auxillary circle at the point M, then the area of the triangle with vertices at A, M and the origin O is : Kaysons Education

# 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 The Auxillary Circle At The Point M, Then The Area Of The Triangle With Vertices At A, M and The Origin O is

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## Question

### Solution

Correct option is

27/10

Equation of the ellipse is  and of the auxillary circle is x2 + y2 = 9.

Equation of AB is .

y-coordinate of M is given by

[3(1 – y)]2 + y2 = 9

⇒              10y2 – 18y = 0

.

Area of

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