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Suppose y=f(x)andy=g(x) are two functio...

Suppose `y=f(x)andy=g(x)` are two functions whose graph intersect at three points (0.4), (2,2) and (4.0), with `f(x)gtg(x)" for "0ltxlt2 and f(x)ltg(x)" for " 2ltxlt4.` if `int_(0)^(4)(f(x)-g(x))dx=10 and int_(2)^(4)[g(x)-f(x)]dx=5`. If areas between two curves for `0ltxlt2` is `A_(1)` and area between two curves for `0ltxlt4` is ` A_(2)`, then -

A

`A_(1)=5`

B

`A_(1)=15`

C

`A_(2)=10`

D

`A_(2)=20`

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B, D
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