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      Question

      If a + b + c = 9 and ab + bc + ca = 20, then find the

      value of a² + b² + c².
      A 41 Correct Answer Incorrect Answer
      B 49 Correct Answer Incorrect Answer
      C 31 Correct Answer Incorrect Answer
      D 21 Correct Answer Incorrect Answer

      Solution

      Since, (a+b+c)² = a² + b² + c² +2(ab+bc+ca) So, a² + b² + c² = (9) ² - 2 x 20 = 81 - 40 = 41

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