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If f(x) = { x, 0 lt x lt 1/2, 1/2, x ...

If `f(x) = { x, 0 lt x lt 1/2, 1/2, x = 1/2, 1-x , 1/2 lt x lt 1}` and `g(x) = (x-1/2)^2` then find the area bounded by f(x) and g(x) from `x = 1/2` to `x= sqrt3/2`

A

`1/3 +(sqrt(3))/(4)`

B

`1/2+(sqrt(3)/4)`

C

`sqrt(3)/4-1/3`

D

`1/2 - sqrt(3)/4`

Text Solution

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The correct Answer is:
`C`
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