TS EAMCET · Maths · Complex Number
Let \(f(x)=a x^2+b x+c\) and GCD of \(a, b, c\) is 1 . If \(\frac{-7+\sqrt{11} i}{6}\) is a root of \(f(x)=0\) and \(f\left(\frac{x}{k}\right)-L=(x+4)(3 x-5)\), then \(k\) and \(L\) are respectively
- A 1, - 15
- B 1, 25
- C 7, - 15
- D 7, 25
Answer & Solution
Correct Answer
(B) 1, 25
Step-by-step Solution
Detailed explanation
Given, \(f(x)=a x^2+b x+c\) and GCD of \(a, b, c\) is 1 . Also given, \(\frac{-7+\sqrt{1 {l}} i}{6}\) is a root of \(f(x)=0\), then \(\frac{-7-\sqrt{11} i}{6}\) must be another root of \(f(x)=0\). So, sum of roots \(=-\frac{b}{a}\)…
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