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Two regular polygons are inscribed in th...

Two regular polygons are inscribed in the same circle. The first polygon has 1982 sides and the second has 2973 sides. If the polygons have any common vertices, then the number of such vertices will be

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Statement -1 : Two regular polygons are inscribed in the same circle. The first polygon has 1982 sides and second has 2973 sides. If the polygons have a common vertex, then the number of vertex common to both of them is 991. Statement -2 : The total number of complex numbers z. satisfying |z-1| = |z +1| =|z| is one Statement -3 : The locus represented by |2011 z+1| = 2011 |z+1| is a striaght line

Statement -1 : Two regular polygons are inscribed in the same circle. The first polygon has 1982 sides and second has 2973 sides. If the polygons have a common vertex, then the number of vertex common to both of them is 991. Statement -2 : The total number of complex numbers z. satisfying |z-1| = |z +1| =|z| is one Statement -3 : The locus represented by |2011 z+1| = 2011 |z+1| is a striaght line

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