Monday, November 9, 2009

PROBLEM 21: FIND THE RATIO

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. Find the ratio in which the point O divides the segment PQ . (COR/CH)
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2 comments:

  1. AnonymousNovember 10, 2009 at 1:32 PM

    is d answer OP:OQ=3:4

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  2. mrigakhi dekaNovember 10, 2009 at 1:50 PM

    I got 3:4 by finding d distance b\w d parallel lines (4x+2y-9=0) n d line 4x+2y=0,d line passing thro (0,0) n which i think,has to be parallel to both d given lines, d distance was (9/root ovr 20).similarly,i took out d distance b\w 4x+2y=0 and 4x+2y+12=0 (multiplying d whole of2x+6y+6=0 by 2) n got it (12/root ovr 20).i assumed d reqd. ratio to be k:1 n equated =>(k/1)={(9/root ovr 20)/(12/root ovr 20)} n then got d ratio= 3:4.

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