A) \[{{\tan }^{-1}}\left( -\frac{6}{7} \right)\]
B) \[{{\tan }^{-1}}\left( \frac{6}{7} \right)\]
C) \[{{\tan }^{-1}}\left( -\frac{7}{6} \right)\]
D) \[{{\tan }^{-1}}\left( \frac{7}{6} \right)\]
Correct Answer: D
Solution :
Here equation of AB is \[x+4y-4=0\] .....(i) and equation of BC is \[2x+y-22=0\] .....(ii) Thus angle between (i) and (ii) is given by \[{{\tan }^{-1}}\frac{-\frac{1}{4}+2}{1+\left( -\frac{1}{4} \right)\text{ }(-2)}={{\tan }^{-1}}\frac{7}{6}\].You need to login to perform this action.
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