AP EAMCET · Maths · Quadratic Equation
If the roots of the equation \(6 x^3-11 x^2+6 x-1=0\) are in harmonic progression, then the roots of \(x^3-6 x^2+11 x-\) \(6=0\) will be in
- A Geometric Progression
- B Arithmetic Progression
- C Harmonic Progression
- D Arithmetico-Geometric Progression
Answer & Solution
Correct Answer
(B) Arithmetic Progression
Step-by-step Solution
Detailed explanation
Consider \(x^3-6 x^2+11 x-6=0\) ...(i) Since \(x=1\), satisfies the above equation. Hence \((x-1)\) will be a factor of equation (i) Therefore…
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