Q.

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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