A) \[a+b-c>0\]
B) \[a-b+c<0\]
C) \[a-b+c>0\]
D) \[a+b-c<0\]
Correct Answer: A
Solution :
[a] The intersection point of two lines is \[\left( \frac{-c}{a+b},\frac{-c}{a+b} \right)\] Distance between (1, 1) and \[\left( \frac{-c}{a+b},\frac{-c}{a+b} \right)<2\sqrt{2}\] \[\Rightarrow 2{{\left( 1+\frac{c}{a+b} \right)}^{2}}<8\] \[\Rightarrow 1+\frac{c}{a+b}<2\Rightarrow a+b-c>0\]
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