TS EAMCET · Maths · Quadratic Equation
If \(\alpha_1, \alpha_2, \ldots \ldots, \alpha_n\) are the roots of \(x^n+p x+q=0\), then \(\left(\alpha_n-\alpha_1\right)\left(\alpha_n-\alpha_2\right) \ldots . .\left(\alpha_n-\alpha_{n-1}\right)=\)
- A \(n \alpha_n^{n-1}+q\)
- B \(\alpha_1^2+\alpha_2^2+\ldots+\alpha_{n-1}^2\)
- C \(\alpha_n^{n-1}+p\)
- D \(n \alpha_n^{n-1}+p\)
Answer & Solution
Correct Answer
(D) \(n \alpha_n^{n-1}+p\)
Step-by-step Solution
Detailed explanation
We have, \[ x^n+p x+q=0 \] If \(\alpha_1, \alpha_2, \alpha_3, \ldots, \alpha_n\) are roots of given equation…
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