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      Question

      If the sum of two numbers is 3 and sum of their squares

      is 12, then their product is equal to
      A 3/2 Correct Answer Incorrect Answer
      B 2/3 Correct Answer Incorrect Answer
      C –3/2 Correct Answer Incorrect Answer
      D –2/3 Correct Answer Incorrect Answer

      Solution

      (a and b are two numbers) ATQ- a+b =3... (1) a² + b² = 12... (2) On squaring equation (i) a2+ b² + 2ab = 9 12+2ab=9 2ab = -3 ab = -3/2

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