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Question

Question: The area enclosed within the curve \(| x | + | y | = 1\) is...

The area enclosed within the curve x+y=1| x | + | y | = 1 is

A

2\sqrt { 2 }

B

1

C

3\sqrt { 3 }

D

2

Answer

2

Explanation

Solution

The given lines are C(1,0)C ( 1,0 ) and 12+12=2\sqrt { 1 ^ { 2 } + 1 ^ { 2 } } = \sqrt { 2 }. Hence, area of square is 2×2=2\sqrt { 2 } \times \sqrt { 2 } = 2 sq. units.