Pair Of Straight Lines Question 67
Question: The angle between the pair of straight lines $ x^{2}+4y^{2}-7xy=0 $ , is
[MNR 1983]
Options:
A) $ {{\tan }^{-1}}( \frac{1}{3} ) $
B) $ {{\tan }^{-1}}3 $
C) $ {{\tan }^{-1}}\frac{\sqrt{33}}{5} $
D) $ {{\tan }^{-1}}\frac{5}{\sqrt{33}} $
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Answer:
Correct Answer: C
Solution:
$ \alpha ={{\tan }^{-1}}\frac{2\sqrt{\frac{49}{4}-4}}{5}={{\tan }^{-1}}\frac{\sqrt{33}}{5} $ .