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JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

If , the minimum value of is

Answer: (C)

Solution

Let on the branch , i.e. .

f'(θ) = aθθ - bθ = θ (aθ - bθ).

Since , \tan\sec\sin\dfrac$

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Question ID VK-109393