Straight Line Question 18

Question: The inclination of the straight line passing through the point (-3, 6) and the midpoint of the line joining the point (4, -5) and (-2, 9) is [Kerala (Engg.) 2002]

Options:

A) $ \pi /4 $

B) $ \pi /6 $

C) $ \pi /3 $

D) $ 3\pi /4 $

Show Answer

Answer:

Correct Answer: D

Solution:

  • Midpoint of the line joining the point $ (4,-5) $ and $ (-2,9) $ is $ ( \frac{4-2}{2},\frac{-5+9}{2} ) $ i.e. (1, 2). \Inclination of straight line passing through point (-3, 6) and midpoint $ (1,2) $ is $ m=\frac{2-6}{1+3}=\frac{-4}{4}=-1=\tan \theta $ . Þ $ \theta =\frac{3\pi }{4} $ .