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BITSAT Mathematics Area Under Curves 2023 BITSAT 2023 (Memory Based Paper 2)

BITSAT Mathematics Question (2023) — Solution

Question

The area of the region R = \ (x, y): 5 x^2 y 2 x^2+9 \ is :

Options

  1. A. 11 3 square units
  2. B. 12 3 square units
  3. C. 9 3 square units
  4. D. 6 3 square units

Answer

B. 12 3 square units

Step-by-step solution

aligned & Required area =2 _0^ 3 (2 x^2+9-5 x^2 ) d x \\ & =2 [9 x-x^3 ]_0^ 3 =2[9 3 -3 3 ]=12 3 . aligned

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