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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

Let f(x) = ax^2 + bx + c, a > 0 and f(2-x) = f(2+x) x R and f(x) = 0 has 2 distinct real roots, then which of the following is true ?

Options

  1. AAtleast one root must be positive
  2. Bf(2) f(1)
  3. CMinimum value of f(x) is negative
  4. DVertex of graph of y = f(x) lies in 3rd quadrat.

Correct answer

A. Atleast one root must be positive

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