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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

If are in AP, are in GP and are in HP, where are positive, then the equation has its roots

Answer: (C)

Solution

Each progression has terms, so its middle term is the th term, which is , , respectively. The middle term of an odd-length AP/GP/HP is the AM/GM/HM of the end terms:

= Missing argument for \frac\frac{a + b}

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Question ID VK-107798