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## Homework Statement

Points are A(-6,2) and B(-3,4) and ellipse 4x^2 + 9y^2 = 72. Point C(x,y) for which triangle ABC has largest area is?

## Homework Equations

Ellipse equations

## The Attempt at a Solution

I don't know even where to start. As far as i am concerned that point can be any number as long as i can construct triangle using that point.