Two equal circle touch externally at point P. PX and PY are chords in the respective circles which are perpendicular. If the centres Are A and B. Show that AX is parallel to BY and AXYB is a parallelogram.
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Draw the diameters through A and B and P. The Draw lines connecting X and Y to the ends opposite P. Now you have two congruent right triangles. The rest follows pretty easily.
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