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There are 3 common tangents of the parab...

There are `3` common tangents of the parabola `y^(2)=4x` and the circle `x^(2)+y^(2)-6x=0` forming a triangle `T`. Which of the following is/are true about the triangle `T`
(A) Its area is `3sqrt(3)`
(B) Its circumcenter `(-1,0)`
(C) Its inradius is `1`
(D) Its area is `(3sqrt(3))/(2)`

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