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    Question

    If (a - b - c) = 6, and (ab - bc + ca) = 117, then find

    the value of (a2 + b2 + c2)
    A 342 Correct Answer Incorrect Answer
    B 270 Correct Answer Incorrect Answer
    C 306 Correct Answer Incorrect Answer
    D 296 Correct Answer Incorrect Answer

    Solution

    We know that, (a - b - c)2 = a2 + b2 + c2 - 2(ab - bc + ca) Or, 36 = a2 + b2 + c2 - 2 X (117) Or, a2 + b2 + c2 = 36 + 234 = 270

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