A) \[\sqrt{2}\]
B) 1
C) \[\frac{\sqrt{2}}{2}\]
D) \[\frac{1}{2}\]
Correct Answer: C
Solution :
Here, equation of line \[{{l}_{2}}\] is, \[y=x\]. \[\therefore \] Slope of \[{{l}_{1}}=\frac{x}{y}=1.\]i.e. \[{{l}_{1}}\] makes \[{{45}^{o}}\] angle with both x-axis and y- axis. Now, we are asked to find the shortest distance between \[{{l}_{1}}\] and \[{{l}_{2}}\] which will be the perpendicular distance between \[{{l}_{1}}\] and \[{{l}_{2}}\] . So, drop a perpendicular LM as shown below:You need to login to perform this action.
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