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Question 340012
JEE Mathematics · Hard

Definite Integration and Area: JEE Advanced MCQ

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JEE AdvancedHardQuestion 340012

Question

The area enclosed by y = |x| and y = 1 is:
  1. A
    1 sq unit
    Correct
  2. B
    2 sq units
  3. C
    1/2 sq unit
  4. D
    4 sq units

Correct answer

1 sq unit

Explanation

y = |x| and y = 1 intersect at x = ±1. Area = ∫₋₁¹ (1 − |x|) dx = 2∫₀¹(1−x) dx = 2[x−x²/2]₀¹ = 2(1/2) = 1 sq unit.

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