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  1. If the sum of two numbers is 3 and the sum of their squares is 12,then their product is equal to :
    1. 3
      2
    2. 2
      3
    3. 3
      2
    4. 2
      3
Correct Option: C

Let two numbers be x and y.
x + y = 3
x2 + y2 = 12
⇒  (x + y)2 = (3)2
⇒  x2 + y2 + 2xy = 9
⇒  12 + 2xy = 9
⇒  2xy = − 3

⇒  xy = −
3
2



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