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What is the area enclosed between |x| + |y| = 1

  • Option 1)

    1 sq units

  • Option 2)

    2 sq units

  • Option 3)

    4 sq units

  • Option 4)

    8 sq units

 

Answers (1)

best_answer

As we have learnt,

 

Properties of Definite Integration -

If the function f(x) is symmetric in x as well as y axis, then the absolute area of the closed figure is four times the integral of the same function in any one of the  quadrant.

ar (PQRSP)= 4ar ( LPMGL )

 

- wherein

 

 Area = 4 x 1/2 x 1 x 1 = 2 sq units.

 


Option 1)

1 sq units

Option 2)

2 sq units

Option 3)

4 sq units

Option 4)

8 sq units

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gaurav

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