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    Question

    Calculate the maximum and minimum value of (8cosA +

    15sinA + 15), if 'q' lies in the first quadrant.
    A 30, 2 Correct Answer Incorrect Answer
    B 32, -2 Correct Answer Incorrect Answer
    C 32, 8 Correct Answer Incorrect Answer
    D 30, 8 Correct Answer Incorrect Answer

    Solution

    As we know the maximum value of (asinq + bcosq) = √(a 2  + b 2 )

    And, minimum value of (asinq+ bcosq) = -√(a 2  + b 2 )

    Now, Maximum value of (8cosA + 15sinA + 15) = √(8 2  + 15 2 ) + 15 = 17 + 15 = 32

    Minimum value of (8cosA + 15sinA + 15) = - √(8 2  + 15 2 ) + 15 = - 17 + 15 = - 2

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