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Question
If x2+y2=25,xy=12,then complete set of  x =
Options:
A .  {3, 4}
B .  {3, -3}
C .  {3, 4, -3, -4}
D .  {-3, -3}
Answer: Option C
:
C
x2+y2=25 and xy=12
x2+(12x)2=25x4+14425x2=0
(x216)(x29)=0x2=16 and x2=9
⇒x= ±4 and x = ±3

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