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y^2 = 4x be the parabola and the points ...

`y^2 = 4x` be the parabola and the points `A(9,6), B(4,-4)` lie on the parabola such that area of `/_\ABC` is maximum (given `C` lies at the arc contain origin). Find the maximum area of `/_\ABC` (A) `101/2` (B) `69/2` (C) `125/4` (D) `521/3`

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