A) \[\frac{|b-a|}{\sqrt{2}}\]
B) \[|a-b|\]
C) \[|a+b|\]
D) \[\frac{|a+b|}{\sqrt{2}}\]
Correct Answer: A
Solution :
The distance between two parallel lines \[=\frac{|{{c}_{1}}-{{c}_{2}}|}{\sqrt{{{a}^{2}}+{{b}^{2}}}}\] \[\therefore \] Distance \[=\frac{|b-a|}{\sqrt{{{1}^{2}}+{{1}^{2}}}}\] \[=\frac{|b-a|}{\sqrt{2}}\]
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