Question
Mon March 04, 2013 By:

IN THE GIVEN FIGURE PA AND PB ARE THE TANGENTS TO A CIRCLE WITH CENTRE O.SHOW THAT THE POINTS A,O,B,P ARE CONCYCLIC.

Expert Reply
Mon March 04, 2013
Join PO. Now, angle (PAO) and angle (PBO) are 90 degree, so if we draw a circle considering PO as the diameter, then it will pass through points A and B as the angle subtended by the diameter in a semi-circle is 90 degree always. 
 
Hence, PAOB are concyclic, i.e. we can draw a circle passing through 4 points. 
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