Q. 355.0( 1 Vote )

Find the area of the region bounded by y – |x – 1| and y = 1.

Answer :

To find are bounded by

Y = |x – 1|


y = 1



y = x – 1


or, 1 = x – 1


or, x – 2 = 0


or, x = 2


C(2,1) is point of intersection of y = x – 1 and y = 1.


y = 1 – x


1 = 1 – x


X = 0


A(0,1) is point of intersection of y = 1 – x and y = 1.


Points of intersection are A (0, 1) and C(2,1)


These are shown in the graph below: -



Required area = Region ABCA


= Region ABDA + Region BCDB








= 1 sq. units


The area of the region bounded by y = |x – 1| and y = 1 is


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