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.

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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.


Correct option is

3 : 4

Equation of the line through O parallel to the given lines is

2x + y = 0. Let QST be perpendicular to these lines as in fig.  





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