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Question

Mathematics Question on integral

The area (in sq. units) enclosed by y = 1, 2x + y = 2 and x + y = 2 is

A

(A) 12

B

(B) 14

C

(C) 1

D

(D) 2

Answer

(B) 14

Explanation

Solution

Explanation:
The vertices ofa triangle are(0,2),(12,1),(1,1) \thereforeArea of triangle =12|02121|=12[−2(12−1)+1(12−1)]=14sq unit