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    Question

    If (a + b) = 13 and (a2 + b2) =

    85, then find the value of (a × b).
    A 36 Correct Answer Incorrect Answer
    B 42 Correct Answer Incorrect Answer
    C 44 Correct Answer Incorrect Answer
    D 40 Correct Answer Incorrect Answer

    Solution

    (a + b) = 13 Squaring on both sides, we get, a2 + b2 + 2ab = 169 Or, 85 + 2ab = 169 Or, 2ab = 169 – 85 = 84 Or, ab = 84/2 = 42

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