Straight Line Question 249

Question: What is the angle between the lines $ x+y=1 $ and $ x-y=1? $

Options:

A) $ \frac{\pi }{6} $

B) $ \frac{\pi }{4} $

C) $ \frac{\pi }{3} $

D) $ \frac{\pi }{2} $

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Answer:

Correct Answer: D

Solution:

  • [d] Slope of $ x+y=1 $ is -1 Slope of $ x-y=1 $ is 1 Let $ \tan A=-1,\tan B=1 $ $ A=\frac{3\pi }{4},B=\frac{\pi }{4} $ $ A-B=\frac{\pi }{2} $