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[Post New]5 Jul 2008 22:35:49 IST
    Subject: straight lines
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vipulramdas (0)

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Lines L1 =ax+by+c=0 & L2 =lx+my+n=0 intersect at the point P & make an angle A with each other. Find the eqn of a line L different from L2 which passes through P & makes the same angle A with L1
    
[Post New]5 Jul 2008 23:24:33 IST
    Subject: straight lines
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tarinbansal (3898)

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The solution of this question will get a bit complicated due to too many variables like a,b,c,l,m,n.

The method is-
U will get the point of intersection of the 2 lines. Now L also passes thru this point and U also know the slope of L.
So, using the above 2 conditions, u can find the equation of L.
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[Post New]13 Jul 2008 11:07:08 IST
    Subject: Re:straight lines
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elessar_iitkgp (2259)

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The solution will be a bit long ... but I think there is an article in S L Loney in the Straight lines chapter that is about finding the equations of two lines which make same angle with a given line. Your problem is exactly that. Please refer to Loney, Chapter of Straight lines.


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