Straight Line Question 289

Question: If the coordinates of the points A, B, C be (-1, 5), (0, 0) and (2, 2) respectively and D be the middle point of BC, then the equation of the perpendicular drawn from B to the line AD is

Options:

A) $ x+2y=0 $

B) $ 2x+y=0 $

C) $ x-2y=0 $

D) $ 2x-y=0 $

Show Answer

Answer:

Correct Answer: C

Solution:

  • Here D (1, 1) therefore equation of line AD is given by $ 2x+y-3=0 $ . Thus the line perpendicular to AD is $ x-2y+k=0 $ and it passes through B, so $ k=0 $ . Hence required equation is $ x-2y=0 $ .