A) \[{{60}^{o}}\]
B) \[{{45}^{o}}\]
C) \[{{30}^{o}}\]
D) \[{{90}^{o}}\]
Correct Answer: B
Solution :
The angle between the lines is given by \[\tan \theta =\left| \frac{2\sqrt{{{h}^{2}}-ab}}{a+b} \right|\] Here we have \[h=-1/2,\text{ }a=1,\text{ }b=-6\] \[\therefore \] \[\tan \theta =\left| \frac{2\sqrt{\frac{1}{4}+6}}{1-6} \right|=\frac{2\sqrt{\frac{25}{4}}}{-5}=\,|-1|\] \[\therefore \] \[\theta ={{\tan }^{-1}}(1)={{45}^{o}}\]
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