A) \[7{{x}^{2}}+2xy+7{{y}^{2}}+10x-10y+7=0\]
B) \[7{{x}^{2}}-2xy+7{{y}^{2}}-10x+10y+7=0\]
C) \[7{{x}^{2}}-2xy+7{{y}^{2}}-10x-10y-7=0\]
D) \[7{{x}^{2}}-2xy+7{{y}^{2}}+10x+10y-7=0\]
Correct Answer: A
Solution :
Let any point on it be (x, y), then \[\frac{\sqrt{{{(x+1)}^{2}}}+\sqrt{{{(y-1)}^{2}}}}{\left| \frac{x-y+3}{\sqrt{2}} \right|}=\frac{1}{2}\] Squaring and simplifying, we get \[7{{x}^{2}}+2xy+7{{y}^{2}}+10x-10y+7=0\].
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