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If A(4,-4) and B(9,6) lies on y^2=4x a...

If `A(4,-4)` and `B(9,6)` lies on `y^2=4x` and a point C on arc `AOB`(O= origin) such that the area of `triangleACB` is maximum then point c is (1) `(1/4,1)` (2) `(1,1/4)` (3) `(1,1/2)` (4) `(1/2,1)`

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