Straight LineHard

Question

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

Options

A.1 : 2
B.3 : 4
C.2 : 1
D.4 : 3

Solution

Now, distance of origin from 4x + 2 y - 9 = 0 is
       
and distance of origin from 2x + y + 6 = 0
       
Hence, the required ration

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