MathDB

6

Part of 2016 Chile National Olympiad

Problems(1)

locus of points such 3 points are collinear, in space (Chile 2016 L2 P6)

Source:

5/31/2019
Let P1P_1 and P2P_2 be two non-parallel planes in space, and AA a point that does not It is in none of them. For each point XX, let X1X_1 denote its reflection with respect to P1P_1, and X2X_2 its reflection with respect to P2P_2. Determine the locus of points XX for the which X1,X2X_1, X_2 and AA are collinear.
geometryLocus3D geometryLocus problemscollinear