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    • Question

      Find the maximum value of 18 sin A + 7 cos A.

      A √373 Correct Answer Incorrect Answer
      B √380 Correct Answer Incorrect Answer
      C √385 Correct Answer Incorrect Answer
      D √390 Correct Answer Incorrect Answer

      Solution

      Maximum value of a sin A + b cos A = √(a² + b²)
      Here, a = 18 and b = 7
      Required value = √(18² + 7²) = √(324 + 49) = √373

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