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      Question

      If a + b + c = 12 and ab + bc + ca = 30, then find the

      value of a² + b² + c².
      A 84 Correct Answer Incorrect Answer
      B 64 Correct Answer Incorrect Answer
      C 72 Correct Answer Incorrect Answer
      D 90 Correct Answer Incorrect Answer

      Solution

      Since, (a+b+c)² = a² + b² + c² + 2(ab+bc+ca) So, a² + b² + c² = (12)² – 2 x 30
      = 144 - 60 = 84

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