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tmua.me Medium Set E Paper 2 · Q15

Paper 2Algebra

Let aa and bb be real constants. Consider the statements

  • PP: a≥b2a\geq b^2.
  • QQ: x4+ax2+bx+1>0x^4+ax^2+bx+1>0 for every real number xx.

Which of the following is correct?

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

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