If y=f(x) is a monotonically increasing function such that ( dy dx )^2=6- dy dx , and y(0)=5, then y(3)=

MHT CET 2026 Mathematics question

If is a monotonically increasing function such that , and , then

Answer: (D)

Let . Then , so or . Since is monotonically increasing, , hence . Integrating, , and gives , so

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Question ID VK-101702