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Suppose `y=f(x) and y=g(x)` are two functions whose graphs intersect at the three point (0, 4), (2,2) and (4, 0) with f(x) gt g(x) for 0 lt x lt 2 and f(x) lt g(x) for 2 lt x lt 4.
If `int_(0)^(4)[f(x)-g(x)]dx=10 and int_(2)^(4)[g(x)-f(x)]dx=5`, the area between two curves for 0 lt x lt 2, is

A

5

B

10

C

15

D

20

Text Solution

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The correct Answer is:
C
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