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    Question

    Find the maximum value of 14 sin A + 24 cos

    A.
    A √772 Correct Answer Incorrect Answer
    B √790 Correct Answer Incorrect Answer
    C √760 Correct Answer Incorrect Answer
    D √780 Correct Answer Incorrect Answer

    Solution

    Maximum value of a sin A + b cos A = √(a² + b²)
    Here, a = 14 and b = 24
    Required value = √(14² + 24²) = √(196 + 576) = √772

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