If α and β are the roots of x^ 2 -P(x+1)-C=0, then the value of ^ 2 +2 +1 ^ 2 +2 +C + ^ 2…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If α and β are the roots of \(x^{2}-P(x+1)-C=0,\)then the value of \(\frac{\alpha^{2}+2 \alpha+1}{\alpha^{2}+2 \alpha+C}+\frac{\beta^{2}+2 \beta+1}{\beta^{2}+2 \beta+C}\) is
- \(\frac{\alpha+\beta+2}{\alpha-\beta}\)
- \(1 + \frac{2}{\alpha-\beta}\)
- \(1\)
- \(-1\)
Answer
(C) 1
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