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      Question

      If a + b + c = 12 and ab + bc + ca = 50, then find the

      value of a2 + b2 + c2.
      A 44 Correct Answer Incorrect Answer
      B 104 Correct Answer Incorrect Answer
      C 194 Correct Answer Incorrect Answer
      D 54 Correct Answer Incorrect Answer

      Solution

      Since, (a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) So, a2 + b2 + c2 = (12)2 – 2 × 50 = 44  

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