Straight Line and Pair of Straight Lines 1 Question 28

28. A straight line through the origin O meets the parallel lines 4x+2y=9 and 2x+y+6=0 at points P and Q respectively. Then, the point O divides the segment PQ in the ratio

(2000,1M)

(a) 1:2

(b) 3:4

(c) 2:1

(d) 4:3

Show Answer

Solution:

  1. Now, distance of origin from 4x+2y9=0 is

|9|42+22=920

and distance of origin from 2x+y+6=0 is

|6|22+12=65

Hence, the required ratio =9/206/5=34



NCERT Chapter Video Solution

Dual Pane