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    Question

    If a + b + c = 14 and ab + bc + ca = 60, then find the

    value of a² + b² + c².
    A 76 Correct Answer Incorrect Answer
    B 80 Correct Answer Incorrect Answer
    C 100 Correct Answer Incorrect Answer
    D 56 Correct Answer Incorrect Answer

    Solution

    Since, (a + b + c) ² = a² + b² + c² + 2 (ab + bc + ca) So, a² + b² + c² = (14)² – 2 x 60
    = 196 - 120 = 76

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