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tmua.me Medium Set C Paper 2 · Q14

Paper 2Algebra

The quadratic equation

x2+ax+b=0x^2+ax+b=0

has two distinct real roots, where aa and bb are real constants. Consider the statements

  • PP: ∣a∣+∣b∣<1|a|+|b|<1.
  • QQ: Both roots satisfy −1<x<1-1<x<1.

Which of the following is correct?

APP is sufficient but not necessary for QQ
BPP is neither necessary nor sufficient for QQ
CPP is necessary but not sufficient for QQ
DPP is both necessary and sufficient for QQ

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