## BdMO National Higher Secondary 2007/3

BdMO
Posts: 134
Joined: Tue Jan 18, 2011 1:31 pm

### BdMO National Higher Secondary 2007/3

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 $\frac {DL}{DM}$?

Labib
Posts: 411
Joined: Thu Dec 09, 2010 10:58 pm

### Re: BdMO National Higher Secondary 2007/3

Does this problem have enough info??
Please Install $L^AT_EX$ fonts in your PC for better looking equations,
Learn how to write equations, and don't forget to read Forum Guide and Rules.

"When you have eliminated the impossible, whatever remains, however improbable, must be the truth." - Sherlock Holmes

FahimFerdous
Posts: 176
Joined: Thu Dec 09, 2010 12:50 am

### Re: BdMO National Higher Secondary 2007/3

Yes, the problem has enough info. It's an IMO shortlist of 1982.

bristy1588
Posts: 92
Joined: Sun Jun 19, 2011 10:31 am

### Re: BdMO National Higher Secondary 2007/3

Fahim,

P can be located anywhere?
Bristy Sikder

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### Re: BdMO National Higher Secondary 2007/3

Yes, as long as the relation $\angle PAC=\angle PBC$ satisfies.
Use $L^AT_EX$, It makes our work a lot easier!