AP EAMCET · Maths · Quadratic Equation
If \(\alpha, \beta, \gamma\) are roots of the equation \(x^3+a x^2+b x+c=0\) then \(\alpha^{-1}+\beta^{-1}+\gamma^{-1}=\)
- A \(\frac{a}{c}\)
- B \(-\frac{b}{c}\)
- C \(\frac{c}{a}\)
- D \(\frac{b}{a}\)
Answer & Solution
Correct Answer
(B) \(-\frac{b}{c}\)
Step-by-step Solution
Detailed explanation
Given \(\alpha, \beta, \gamma\) are roots of \(x^3+a x^2+b x+c=0\) So, \(\alpha \cdot \beta \cdot \gamma=\frac{-c}{a}\) and \(\alpha \beta+\beta \gamma+\alpha \gamma=\frac{b}{a}\) Now,…
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