A) \[{{x}^{2}}+4{{y}^{2}}+4xy+16x+2y+259=0\]
B) \[{{x}^{2}}+4{{y}^{2}}+4xy+116x+2y+259=0\]
C) \[{{x}^{2}}+{{y}^{2}}+4xy+116x+2y+259=0\]
D) None of these
Correct Answer: B
Solution :
Let any point on it be (x, y), then from definition of parabola, we get \[\frac{\sqrt{{{(x+8)}^{2}}+{{(y+2)}^{2}}}}{\left| \frac{2x-y-9}{\sqrt{5}} \right|}=1\] Squaring and after simplification, we get \[{{x}^{2}}+4{{y}^{2}}+4xy+116x+2y+259=0\].
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