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