A) \[7{{x}^{2}}+23{{y}^{2}}+30xy+66x+50y-73=0\]
B) \[7{{x}^{2}}+23{{y}^{2}}+30xy-66x-50y-73=0\]
C) \[7{{x}^{2}}+23{{y}^{2}}-30xy-66x-50y+73=0\]
D) None of these
Correct Answer: A
Solution :
\[S{{S}_{1}}={{T}^{2}}\] \[\Rightarrow ({{x}^{2}}+{{y}^{2}}-2x+4y+3)(36+25-12x-20y+3)\] \[={{(6x-5y-x-6+2(y-5)+3)}^{2}}\] \[\Rightarrow 7{{x}^{2}}+23{{y}^{2}}+30xy+66x+50y-73=0\].
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