Answer :

To find the area enclosed by

y = |x – 1|




And y = – |x – 1| + 1




Solving both the equation for x<1


Y = 1 – x and y = x,


We get x = and y =


And solving both the equations for x≥1


Y = x – 1 and y = 2 – x,


We get x = and y =


These are shown in the graph below:



Required area = Region ABCDA


Required area = Region BDCB + Region ABDA …(1)








The area enclosed by the curves y = |x – 1| and y = – |x – 1| + 1 is


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