Straight Line Question 20

Question: The angle between the straight lines $ x-y\sqrt{3}=5 $ and $ \sqrt{3x}+y=7 $ is[MP PET 2003]

Options:

A) $ 90^{o} $

B) $ 60^{o} $

C) $ 75^{o} $

D) $ 30^{o} $

Show Answer

Answer:

Correct Answer: A

Solution:

  • As $ a_1a_2+b_1b_2=(1)(\sqrt{3})+(-\sqrt{3})(1)=0 $ Lines are perpendicular, \ $ \theta =90{}^\circ $ .