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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 : The largest interval in which f(x) is monotonically increasing, is :

Options

  1. A(- , 1 2 ]
  2. B[- 1 2 , )
  3. C(- , 1 4 ]
  4. D[- 1 4 , )

Correct answer

C. (- , 1 4 ]

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