MathDB
BAMO Geo

Source: BAMO 1999/p2

August 11, 2019
BAMOgeometry

Problem Statement

Let O=(0,0),A=(0,a),andB=(0,b)O = (0,0), A = (0,a), and B = (0,b), where 0<b<a0<b<a are reals. Let Γ\Gamma be a circle with diameter AB‾\overline{AB} and let PP be any other point on Γ\Gamma. Line PAPA meets the x-axis again at QQ. Prove that angle ∠BQP=∠BOP\angle BQP = \angle BOP.
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