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Black Advanced Problems in Mathematics
Exam
Black Advanced Problems in Mathematics
Subject
Mathematics
Chapter
Quadratic Equation

Black Advanced Problems in Mathematics · Mathematics · Quadratic Equation

Let f(x) = ax^2 + bx + c, a > 0 and f(2-x) = f(2+x) x ∈ R and f(x)...

Let f(x)=ax2+bx+c,a>0f(x) = ax^2 + bx + c, a > 0 and f(2−x)=f(2+x)∀x∈Rf(2-x) = f(2+x) \forall x \in R and f(x)=0f(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(0)>f(1)f(2) < f(0) > f(1)
  3. CMinimum value of f(x)f(x) is negative
  4. DVertex of graph of y=f(x)y = f(x) lies in 3rd quadrat.

Correct answer

A. Atleast one root must be positive

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