MathDB

3.1

Part of Geometry Mathley 2011-12

Problems(1)

Geometry Mathley 3.1 OI = OJ

Source:

6/7/2020
AB,ACAB,AC are tangent to a circle (O)(O), B,CB,C are the points of tangency. QQ is a point iside the angle BACBAC, on the ray AQAQ, take a point PP suc that OPOP is perpendicular to AQAQ. The line OPOP meets the circumcircles triangles BPQBPQ and CPQCPQ at I,JI, J. Prove that OI=OJOI = OJ.
Hồ Quang Vinh
geometryequal segmentscircumcirclecircles