Let f(x)= x^2+x + ^2 x^2+x , (0, 2 ). The value of f(x) is always greater than or equal to

JEE Advanced Mathematics question

Let . The value of is always greater than or equal to

Answer: (A)

Both terms are positive wherever is defined (). By AM GM,

=α\ ⇒\ f(x)2α .

Equality holds whe

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Question ID VK-110103