A) \[{{90}^{o}}\]
B) \[{{60}^{o}}\]
C) \[{{45}^{o}}\]
D) \[{{30}^{o}}\]
Correct Answer: A
Solution :
Angle between two lines is given by \[\tan \theta =\frac{{{m}_{1}}-{{m}_{2}}}{1+{{m}_{1}}{{m}_{2}}}\] Given \[{{m}_{1}}=\frac{-1}{2},\] \[{{m}_{2}}=2\] \[\therefore \,\,{{m}_{1}}{{m}_{2}}=-1\]. So the lines are perpendicular i.e., \[\theta =90{}^\circ \].
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