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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Quadratic Equation

NDA 2019 · Mathematics · Quadratic Equation

Under which one of the following conditions will the quadratic...

Under which one of the following conditions will the quadratic equation x2+mx+2=0x^2+m x+2=0 always have real roots?

Options

  1. A23≤m3<82 \sqrt{3} \leq m^3 < 8
  2. B3≤m2<4\sqrt{3} \leq m^2 < 4
  3. Cm2>8m^2 > 8
  4. Dm2≤3m^2 \leq \sqrt{3}

Correct answer

C. m2>8m^2 > 8

Step-by-step solution

x2+mx+2=0x^2+m x+2=0 for real roots m2≥4m^2 \geq 4 (2) (1) m2≥8m^2 \geq 8
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