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

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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} $ .