question_answer

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 points O divides the segment PQ in the ratio

A) 1:2

B) 3:4

C) 2:1

D) 4:3

Correct Answer: B

Solution :

[b] Let ant line through the origin meets the given lines at E and F as shown in figure. Now, from the figure, triangles OAE and OCF are similar. \[\frac{OE}{OF}=\frac{OA}{OC}=\frac{9/4}{3}=\frac{3}{4}\]