A) \[{{x}^{2}}-8{{y}^{2}}=0\]
B) \[{{x}^{2}}+8{{y}^{2}}=0\]
C) \[4{{x}^{2}}-{{y}^{2}}=0\]
D) \[{{x}^{2}}-4{{y}^{2}}=0\]
Correct Answer: A
Solution :
Let the point be (x, y), then according to the given condition \[\sqrt{{{x}^{2}}+{{y}^{2}}}=3y\]{\[\because \,\,\]distance from x-axis is y} \[\Rightarrow \,\,{{x}^{2}}+{{y}^{2}}=9{{y}^{2}}\,\,\Rightarrow \,{{x}^{2}}-8{{y}^{2}}=0\].
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