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      Question

      If x and y are the roots of x2 + x + 3 = 0,

      then (x11 + y11)/(x-11 + y-11) is equal to:
      A (3)^11 Correct Answer Incorrect Answer
      B -(3)^11 Correct Answer Incorrect Answer
      C (2)^17 Correct Answer Incorrect Answer
      D Cannot be determined Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      => (x11 + y11)/(x-11 + y-11) => (x11 + y11)/(1/x11 + 1/y11) => (x11 + y11)/{(x11 + y11)/(xy)11} => (xy)11 Product of root = c/a (xy) = (3)11

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