Straight Line Question 262

Question: 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

Options:

A) 1:2

B) 3:4

C) 2:1

D) 4:3

Show Answer

Answer:

Correct Answer: B

Solution:

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