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Black Book Advanced Problems in MathematicsMathematicsApplication of Derivatives

**Paragraph for Question Nos. 12 to 14** The differentiable function y = f(x) has a property that the chord joining any two points A(x₁, f(x₁)) and B(x₂, f(x₂)) always intersects y-axis at (0, 2x₁ x₂) . Given that f(1) = -1 , then : ₀^ 1/2 f(x) dx is equal to :

Options

  1. A1 6
  2. B1 8
  3. C1 12
  4. D1 24

Correct answer

D. 1 24

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