A smooth track in the form of a quarter circle of radius `6 m` lies in the vertical plane. A particle moves from `P_(1)` to `P_(2)` under the action of forces `vec F_(1),vecF_(2)` and `vec F_(3)` Force `vec F_(1)` is 20N, Force `vec F_(2)` is always `30 N` in magnitude. Force `vec F_(3)` always acts tangentiallly to the track and is of magnitude `15 N`. Select the correct alternative (s) :
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A. Work done by `vec F_(1)` is `120 J`
B. Work done by `vec F_(2)` is `180 J`
C. Work done by `vec F_(3)` is `45 pi J`
D. `vec F_(1)` is conservative in nature.