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NDA 2013
Exam
NDA
Year
2013
Subject
Mathematics
Chapter
Quadratic Equation

NDA 2013 · Mathematics · Quadratic Equation

If α and β are the roots of the equation x^2+b x+c=0 , then what is...

If α\alpha and β\beta are the roots of the equation x2+bx+c=0x^2+b x+c=0, then what is the value of α−1+β−1\alpha^{-1}+\beta^{-1} ?

Options

  1. A−bc-\frac{b}{c}
  2. Bbc\frac{b}{c}
  3. Ccb\frac{c}{b}
  4. D−cb-\frac{c}{b}

Correct answer

A. −bc-\frac{b}{c}

Step-by-step solution

1α+1β=α+βαβ=−bc\frac{1}{\alpha}+\frac{1}{\beta}=\frac{\alpha+\beta}{\alpha \beta}=\frac{-b}{c}
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