If 2f(x) + 3f ( 1 x ) = x^2 + 1, x 0 and y = 5x^2 f(x), then y is strictly increasing in

MHT CET 2025 Mathematics question

If , and , then y is strictly increasing in

Answer: (A)

Replace by : . Eliminate : multiply the given equation by 2 and this one by 3, then subtract: and , so . Then and

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Question ID VK-101220