Straight Line Question 12

Question: The obtuse angle between the lines $ y=-\ 2 $ and $ y=x+2 $ is [RPET 1984]

Options:

A) $ 120^{o} $

B) $ 135^{o} $

C) $ 150^{o} $

D) $ 160^{o} $

Show Answer

Answer:

Correct Answer: B

Solution:

  • The gradient of the line $ y=x+2 $ is 1. Therefore, it makes an angle of $ 45^{o} $ with x-axis. The second line is parallel to x-axis. Hence the obtuse angle between the lines is $ 135^{o} $ .