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    Question

    If (a + b + c) = 18 and (ab + bc + ca) = 100, then find

    the value of (a² + b² + c²).
    A 160 Correct Answer Incorrect Answer
    B 140 Correct Answer Incorrect Answer
    C 124 Correct Answer Incorrect Answer
    D 196 Correct Answer Incorrect Answer

    Solution

    ATQ,


    As we know,


    (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)


    Or, (18)² = a² + b² + c² + 2 × (100)


    So, a² + b² + c² = 324 – 200 = 124

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