9.9
Problems(2)
locus of intersection of 2 circles
Source: II Soros Olympiad 1995-96 R1 9.9 https://artofproblemsolving.com/community/c2416727_soros_olympiad_in_mathematics
6/2/2024
Two points and are given on the plane. An arbitrary circle passes through and intersects the straight line for second time at a point , different from . A circle passing through , and the center of the first circle intersects the first one for second time at point . Find the locus of points .
geometryLocus
5 ingots of different weigths (II Soros Olympiad 1995-96 R3 9.9)
Source:
6/4/2024
There are ingots weighing , , , and kg with an unknown copper content that varies in different ingots. Each ingot must be divided into parts and new ingots of the same mass of , , , and kg must be made. This requires that the percentage of copper in all pieces be the same, regardless of what it was in the original pieces. What parts should each piece be divided into?
algebra