Straight Line Question 113

Question: Distance between the two parallel lines $ y=2x+7 $ and $ y=2x+5 $ is [Orissa JEE 2004]

Options:

A) $ \frac{\sqrt{5}}{2} $

B) $ \frac{2}{5} $

C) $ \frac{2}{\sqrt{5}} $

D) $ \frac{1}{\sqrt{5}} $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Given lines are $ 2x-y+7=0 $ and $ AB=2AD=2\sqrt{81-9}=2\sqrt{72}=12\sqrt{2} $ Both the lines are on same side of origin.Distance between two parallel lines = $ \frac{7-5}{\sqrt{2^{2}+1^{2}}}=\frac{2}{\sqrt{5}} $ .