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    Question

    If (r + s + t) = 12 and (rs + st + tr) = 60, then find

    the value of (r² + s² + t²).
    A 24 Correct Answer Incorrect Answer
    B 10 Correct Answer Incorrect Answer
    C 14 Correct Answer Incorrect Answer
    D 16 Correct Answer Incorrect Answer

    Solution

    ATQ,

    As we know,

    (r + s + t)² = r² + s² + t² + 2(rs + st + tr)

    Or, (12)² = r² + s² + t² + 2 × (60)

    So, r² + s² + t² = 144 – 120 = 24

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