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99 Percentile Qs Bank for JEE MainMathematicsArea Under Curves

Area bounded by the lines y=x, x=-1, x=2 and x -axis is

Options

  1. A5 / 2 sq unit
  2. B3 / 2 sq unit
  3. C1 / 2 sq unit
  4. DNone of the above

Correct answer

A. 5 / 2 sq unit

Step-by-step solution

Required area = _ -1 ² y d x = _ -1 ⁰ y d x+ ₀² y d x= | _ -1 ⁰ x d x |+ ₀² x d x .= x² 2 ]₁⁰ + [ x² 2 ]₀²= 5 2 sq unit

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