Diagonal joins any two adjacent vertices of a polygon .

If z and bar z represent adjacent vertices of a regular polygon of n sides where centre is origin and if (Im(z))/(Re(z)) = sqrt(2) - 1 , then n is equal to:

A diagonal is a line segment that joins any two vertices of the olygon and is not a side of the polygon.Draw a rough sketch of a pentagon and draw its diagonals.

Consider a polygon of sides 'n' which satisfies the equation 3*.^(n)P_(4)=.^(n-1)P_(5) . Q. Number of quadrilaterals that can be made using the vertices of the polygon of sides 'n' if exactly two adjacent sides of the quadrilateral are common to the sides of the n-gon is

The centre of a regular hexagon is at the point z = i. If one of its vertices is at 2 + i, then the adjacent vertices of 2 + i are at the points :

In the figure bar(AC), bar(AD), bar(BD), bar(BE) and (CE) are diagonals. Is bar(BC) a diagonal. Why or why not? If you try to join adjacent vertices, will the result be a diagonal? Name all the sides, adjacent vertices of the figure ABCDE.

(n-1) equal point masses each of mass m are placed at the vertices of a regular n-polygon. The vacant vertex has a position vector veca with respect to the center of the polygon. Find the position vector of centre of mass.