BdMO National Higher Secondary 2007/3

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BdMO
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BdMO National Higher Secondary 2007/3

Unread post by BdMO » Sun Feb 06, 2011 10:14 pm

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 $\frac {DL}{DM}$?

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Labib
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Re: BdMO National Higher Secondary 2007/3

Unread post by Labib » Fri Jan 06, 2012 5:43 am

Does this problem have enough info?? :?
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FahimFerdous
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Re: BdMO National Higher Secondary 2007/3

Unread post by FahimFerdous » Fri Jan 06, 2012 8:27 am

Yes, the problem has enough info. It's an IMO shortlist of 1982.
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bristy1588
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Re: BdMO National Higher Secondary 2007/3

Unread post by bristy1588 » Fri Jan 06, 2012 11:02 am

Fahim,

P can be located anywhere?
Bristy Sikder

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*Mahi*
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Re: BdMO National Higher Secondary 2007/3

Unread post by *Mahi* » Wed Feb 08, 2012 7:38 pm

Yes, as long as the relation $\angle PAC=\angle PBC$ satisfies.
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