Pair Of Straight Lines Question 95
Question: Acute angle between the lines represented by $ (x^{2}+y^{2})\sqrt{3}=4xy $ is
[MP PET 1992]
Options:
A) $ \pi /6 $
B) $ \pi /4 $
C) $ \pi /3 $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
$ \tan \theta =\pm \frac{2\sqrt{4-3}}{2\sqrt{3}}=\frac{1}{\sqrt{3}} $ or $ \theta =30{}^\circ $ Hence, acute angle is 30° or $ \frac{\pi }{6} $ .