Straight Line Question 2

Question: The angle between the lines $ y=(2-\sqrt{3})x+5 $ and $ y=(2+\sqrt{3})x-7 $ is [MP PET 1997]

Options:

A) $ 30^{o} $

B) $ 60^{o} $

C) $ 45^{o} $

D) $ 90^{o} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • $ \theta ={{\tan }^{-1}}( \frac{2-\sqrt{3}-2-\sqrt{3}}{1+4-3} )={{\tan }^{-1}}(-\sqrt{3})=120^{o} $ Considering smaller angle $ {\theta }’=60^{o} $ .