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KCET2007MathematicsArea Under Curves

The area bounded by the curve x=4-y² and the Y -axis is

Options

  1. A16 sq units
  2. B32 sq units
  3. C32 3 sq units
  4. D16 3 sq units

Correct answer

C. 32 3 sq units

Step-by-step solution

Given curve x=4-y² and Y -axis. The formed area is A B C O A aligned &=2 area of A B O A &=2 ₀⁴ 4-x d x &=2 [- (4-x)^ 3 / 2 3 / 2 ]₀⁴ &=2 [- 2 3 0+ 2 3 (4)^ 3 / 2 ] &= 4 3 8= 32 3 sq units aligned

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