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KCET2014MathematicsInverse Trigonometric Functions

Area of the region bounded by two parabolas ( y=x² ) and ( x=y² ) is

Options

  1. A( 1 3 )
  2. B( 03 )
  3. C( 1 4 )
  4. D4

Correct answer

A. ( 1 3 )

Step-by-step solution

Given that, y=x² (1) and x=y² (2) we know that area bounded by the region, y²=4 a x and x²=4 b y is given by 4 a .4 b 3 So, required area is 1 1 3 = 1 3

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