A) \[ax-by=0,\ bx+ay=0\]
B) \[ax-by=0,\ bx-ay=0\]
C) \[ax+by=0,\ bx+ay=0\]
D) \[ax+by=0,\ bx-ay=0\]
Correct Answer: A
Solution :
\[ab({{x}^{2}}-{{y}^{2}})+({{a}^{2}}-{{b}^{2}})xy=0\] \[\Rightarrow ab{{x}^{2}}+{{a}^{2}}xy-{{b}^{2}}xy-ab{{y}^{2}}=0\] \[\Rightarrow ax(bx+ay)-by(bx+ay)=0\] \[\Rightarrow (bx+ay)(ax-by)=0\] \[\Rightarrow bx+ay=0\]and\[ax-by=0\] .You need to login to perform this action.
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