MathDB
IMAR Test 2018 P1

Source: IMAR Test 2018 P1

April 20, 2021
geometryLocusromania

Problem Statement

Let ABCABC be a triangle whose angle at AA is right, and let DD be the foot of the altitude from AA. A variable point MM traces the interior of the minor arc ABAB of the circle ABCABC. The internal bisector of the angle DAMDAM crosses CMCM at NN. The line through NN and perpendicular to CMCM crosses the line ADAD at PP. Determine the locus of the point where the line BNBN crosses the line CPCP.
* * *
Back to ProblemsView on AoPS