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JEE Main 2004
Exam
JEE Main
Year
2004
Subject
Mathematics
Chapter
Area Under Curves

JEE Main 2004 · Mathematics · Area Under Curves

The area of the region bounded by the curves y=|x-2|, x=1, x=3 and...

The area of the region bounded by the curves y=∣x−2∣,x=1,x=3y=|x-2|, x=1, x=3 and the xx-axis isThe area of the region bounded by the curves y=|x-2|, x=1, x=3 and the x -axis is

Options

  1. A1
  2. B2
  3. C3
  4. D4

Correct answer

A. 1

Step-by-step solution

Area =∫12(2−x)dx+∫23(x−2)dx=1=\int_1^2(2-x) d x+\int_2^3(x-2) d x=1 The area of the region bounded by the curves y=|x-2|, x=1, x=3 and the x -axis is
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