question_answer

A straight line through the origin 0 meets the parallel lines  at points P and g respectively. Then the point 0 divides the segment PQ in the ratio

A)                 

B)  

C)                 

D)

Correct Answer: B

Solution :

In particular, PQ can be taken perpendicular to the two parallel lines then required ratio = ratio of perpendicular distances of lines from origin \[=\,\,\,OP:OQ=\,\,\left| \frac{9}{\sqrt{20}} \right|:\left| \frac{-6}{\sqrt{5}} \right|\,\,=\,\,3:4,\]