imo class 12 application of integrals

A plot is in the shape of the region between y = √x, y = x. The cost of fencing at ₹50 per unit length of perimeter is approximately (use integration for arc length if needed, but area in sq units is asked here). Actually, if land price is ₹200 per sq unit, the total land co…

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A plot is in the shape of the region between y = √x, y = x. The cost of fencing at ₹50 per unit length of perimeter is approximately (use integration for arc length if needed, but area in sq units is asked here). Actually, if land price is ₹200 per sq unit, the total land cost is:

  • A. ₹100/3
  • B. ₹200/3
  • C. ₹400/3
  • D. ₹50

Answer: A) ₹100/3

Explanation: Area = 1/6 sq unit. Cost = (1/6) × 200 = ₹100/3.

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