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NTA Abhyas JEE Main2020MathematicsArea Under CurvesPractice

The area (in sq. units) bounded by x + y = 2 with the co-ordinate axes is equal to (where, . denotes the greatest integer function)

Correct answer

2.5

Step-by-step solution

As, x + y = 2 ⇒ x + y ∈ 2,3 The required area = 1 2 ⋅ 3 ⋅ 3 - 1 2 ⋅ 2 ⋅ 2 = 9 - 4 2 = 5 2 sq. units

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