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JEE Advanced Mathematics question

MathematicsQuadratic Equations and InequalitiesJEE Advanced

If has real solutions, , , then the set of possible values of the parameter is

Answer: (C)

Solution

On , takes every real value, so takes every value in . The equation becomes

a(y+Missing argument for \frac\frac1y)=2 a=.

By AM–GM, for , with equality at , and

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Question ID VK-107941