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KVPY2017MathematicsArea Under Curves

The parabola y²=4 x+1 divides the disc x²+y² 1 into two regions with areas A₁ and A ₂ . Then | A ₁- A ₂ | equals

Options

  1. A1 3
  2. B2 3
  3. C4
  4. D3

Correct answer

B. 2 3

Step-by-step solution

A₁=2 _ -1 / 4 ⁰ 4 x+1 d x+2 ₀¹ 1-x² d x Solve A₁= 1 3 + 2 array l A₂= (1)²-A₁= 2 - 1 3 |A₁-A₂ |= 2 3 array

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