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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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