If A, G and H are respectively AM, GM and HM of three positive numbers a, b and c, then…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If A, G and H are respectively AM, GM and HM of three positive numbers a, b and c, then equation whose roots are a, b, c is
- \(x^{3}-3 A x^{2}+3 \frac{C^{3}}{H} x-C^{3}=0\)
- \(x^{3}+3 A x^{2}+3 \frac{C^{3} x}{H}+C^{3}=0\)
- \(x^{3}-3 A x^{2}-3 \frac{C^{3}}{H} x-C^{3}=0\)
- None of these
Answer
(A) x^ 3 -3 A x^ 2 +3 C^ 3 H x-C^ 3 =0
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