JEE Advanced Mathematics question

MathematicsSequence and SeriesJEE Advanced

Let , and be the AM, GM and HM of two positive numbers and . The quadratic equation whose roots are and is

Answer: (A),(C)

Solution

Key fact: , , , so .

The required equation is , i.e. . - (a) ✔ Using : ; multiplying by :

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Question ID VK-108003