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    Question

    If a + b + c = 12 and ab + bc + ca = 50, then find the

    value of a2 + b2 + c2.
    A 44 Correct Answer Incorrect Answer
    B 104 Correct Answer Incorrect Answer
    C 194 Correct Answer Incorrect Answer
    D 54 Correct Answer Incorrect Answer

    Solution

    Since, (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) So, a2 + b2 + c2 = (12)2 – 2 × 50 = 44  

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