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BdMO National Higher Secondary 2007/3

Posted: Sun Feb 06, 2011 10:14 pm
by BdMO
Problem 3:
In $\Delta ABC,\ \angle PAC=\angle PBC$. The perpendicular from $P$ to $BC$ and $CA$ meet these lines at $L$ and $M$ respectively. $D$ is the midpoint of $AB$. What is the value of $\frac {DL}{DM}$?

Re: BdMO National Higher Secondary 2007/3

Posted: Fri Jan 06, 2012 5:43 am
by Labib
Does this problem have enough info?? :?

Re: BdMO National Higher Secondary 2007/3

Posted: Fri Jan 06, 2012 8:27 am
by FahimFerdous
Yes, the problem has enough info. It's an IMO shortlist of 1982.

Re: BdMO National Higher Secondary 2007/3

Posted: Fri Jan 06, 2012 11:02 am
by bristy1588
Fahim,

P can be located anywhere?

Re: BdMO National Higher Secondary 2007/3

Posted: Wed Feb 08, 2012 7:38 pm
by *Mahi*
Yes, as long as the relation $\angle PAC=\angle PBC$ satisfies.