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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

In the above problem, if roots of equation f(x) = 0 are non-real...

In the above problem, if roots of equation f(x)=0f(x) = 0 are non-real complex, then which of the following is false ?

Options

  1. Af(x)=sin⁡πx4f(x) = \sin \frac{\pi x}{4} must have 2 solutions
  2. B4a−2b+c<04a - 2b + c < 0
  3. CIf log⁡f(2)f(3)\log_{f(2)} f(3) is not defined, then f(x)≥1∀x∈Rf(x) \ge 1 \forall x \in R
  4. DAll a,b,ca, b, c are positive.

Correct answer

A. f(x)=sin⁡πx4f(x) = \sin \frac{\pi x}{4} must have 2 solutions

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