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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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