A) \[(-1,\,\,1)\]
B) \[(1,\,\,1)\]
C) \[(1,\,\,-1)\]
D) \[(-1,\,\,-1)\]
Correct Answer: B
Solution :
Let the equation of the line\[ax+by+c=0\] Then, according to the given condition, \[\frac{2a+0b+c}{\sqrt{{{a}^{2}}+{{b}^{2}}}}+\frac{0+2b+c}{\sqrt{{{a}^{2}}+{{b}^{2}}}}+\frac{a+b+c}{\sqrt{{{a}^{2}}+{{b}^{2}}}}=0\] \[\Rightarrow \] \[3a+3b+3c=0\] \[\Rightarrow \] \[a+b+c=0\] This shows \[ax+by+c=0\] passes through the fixed point\[(1,\,\,1)\].You need to login to perform this action.
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