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 The area enclosed by the graph |x-1| + |y-1| = 2 is


Options:
A .   2
B .   4
C .   4√2
D .   8
E .   16
Answer: Option D
:
D

Option (d)

 The Area Enclosed By The Graph |x-1| + |y-1| = 2 Is

 

The above is the graph of |x| + |y| = 2. Area of the region enclosed = (product of diagonals)/2 = (4*4)/2 = 8.

Now we get |x-1|+|y-1| =2 by shifting the above graph but the area enclosed will remain same as the size and shape is not changing. So enclosed area = 8



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