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    • Question

      If a 2  + b 2  + c 2  =

      240 and ab – bc – ca = 64, then find the value of (a + b – c) 2 .
      A 368 Correct Answer Incorrect Answer
      B 326 Correct Answer Incorrect Answer
      C 334 Correct Answer Incorrect Answer
      D 322 Correct Answer Incorrect Answer

      Solution

      (a + b – c) = a 2  + b 2  + c 2  + 2(ab – bc – ca)
      = 240 + 2 × 64 = 368

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