Consider the parabola y^2=4xdot Let A-=(...

Consider the parabola `y^2=4xdot` Let `A-=(4,-4)` and `B-=(9,6)` be two fixed points on the parabola. Let `C` be a moving point on the parabola between `Aa n dB` such that the area of the triangle `A B C` is maximum. Then the coordinates of `C` are (a) `(1/4,1)` (b) `(4,4)` (c) `(3,2/(sqrt(3)))` (d) `(3,-2sqrt(3))`

`(1/4,1)`

`(3,-2sqrt3)`

`(3,2sqrt3)`

(4,4)

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