MathDB

26

Part of 2003 Iran MO (3rd Round)

Problems(1)

Median has fixed length

Source: Iranian National Olympiad (3rd Round) 2003

1/24/2009
Circles C1,C2 C_1,C_2 intersect at P P. A line Δ \Delta is drawn arbitrarily from P P and intersects with C1,C2 C_1,C_2 at B,C B,C. What is locus of A A such that the median of AM AM of triangle ABC ABC has fixed length k k.
vectortrigonometrygeometrytrapezoidabsolute valuetrig identitiesLaw of Cosines