A straight line through the origin O meets the parallel lines 4x + 2y = 9 and2x + 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
1:2
b
3:4
c
2:1
d
4 : 3
answer is B.
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Detailed Solution
Let any 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. Therefore, OEOF=OAOC=9/43=34
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A straight line through the origin O meets the parallel lines 4x + 2y = 9 and2x + y + 6 = 0 at points P and Q respectively. Then the point O divides the segment PQ in the ratio