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KCET2025MathematicsArea Under Curves

The area of the region bounded by the curve y=x^2 and the line y=16 is

Options

  1. A32 3 sq. units
  2. B256 3 sq. units
  3. C64 3 sq. units
  4. D128 3 sq. units

Correct answer

B. 256 3 sq. units

Step-by-step solution

y=x^2, y=16 aligned & 2 ₀¹⁶ y d y=2 y^ 3 / 2 3 / 2 & = 4 3 (4^3 )= 256 3 aligned

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