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99 Percentile Qs Bank for JEE MainMathematicsArea Under Curves

The area bounded by the parabola y²=x , straight line y=4 and y -axis is square units is

Options

  1. A16 / 3 sq. unit
  2. B64 / 3 sq. unit
  3. C7 2 sq. unit
  4. DNone of these

Correct answer

B. 64 / 3 sq. unit

Step-by-step solution

Line y=4 meets the parabola y²=x at A 16=x and A is (16,4) Required area array l = _ y=0 ⁴ x d y = _ y=0 ⁴ y² d y = [y³ / 3 ]₀⁴ = 64 3 sq units array

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