Indian Mathematical Olympiad 1990 - Problem 6
Source:
August 14, 2009
geometrycircumcirclegeometry proposed
Problem Statement
Triangle is scalene with angle having a measure greater than 90 degrees. Determine
the set of points that lie on the extended line , for which
|AD|\equal{}\sqrt{|BD| \cdot |CD|}
where refers to the (positive) distance between and .