A) \[{{x}^{2}}+{{y}^{2}}=0\]
B) \[{{x}^{2}}-{{y}^{2}}=0\]
C) \[xy=0\]
D) \[x+y=0\]
Correct Answer: B
Solution :
Equations of axes are\[x=0,\ y=0\]. Combined equation is\[xy=0\]. Therefore, combined equation of bisectors is\[\frac{{{x}^{2}}-{{y}^{2}}}{0}=\frac{xy}{1/2}\Rightarrow {{x}^{2}}-{{y}^{2}}=0\].
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