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The area of the bounded region enclosed by the curve y = 3 - |x - 1/2| - |x+1| and the x-axis is

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The area of the bounded region enclosed by the curve y = 3 - |x - 1/2| - |x+1| and the x-axis is 

(A) 9/4 

(B) 45/16 

(C) 27/8 

(D) 63/16

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Correct option is (C) 27/8 

Area bounded = ar ABF + ar BCEF + ar CDE

= 27/8 sq. units.

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