A straight line through the origin meets the parallel lines 4x+2y=9 and 2x+y+6=0 at P and Q respectively. Then the point O divides PQ in the ratio???
x=-6/(k+2),y=-6k(k+2),this is Q
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PO : OQ = 3:4
2y = -4x + 9
2y = -4x - 12
The y-intercepts of these two lines are +9/2 and -12/2, respectively. The origin divides the segment as9:12 = 3:4