1.

A tangent to the ellipse (x^(2))/(4)+(y^(2))/(1)=1 cuts the circle x^(2)+y^(2)=4 at point A and B C is any point on the circle x^(2)+y^(4)=4 such that A, B and C are to the same side of x-axis find the maximum , area of the traingle ABC.

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ANSWER :`SQRT(3)`


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