MathJax(?): Can't find handler for document
MathJax(?): Can't find handler for document
Let and be two vertices of a regular polygon having 12 sides such that PQ is a diameter of the circle circumscribing the polygon. Which of the following points is not a vertex of this polygon?
(A)
(B)
(C)
(D)
If and are the end points of the diameter, it is quite clear that the equation of the circle must be
Therefore, all the vertices must lie on this circle. Now, checking from the options, we find that every point given in the options satisfies the above equation. Now I am stuck.
How else should I tackle the sum?