A unique circle can always be drawn through x number of given non-collinear points, then X must be 

Two equal circles of radius 4 cm intersect each other such that each passes through the center of the other. The length of the common chord is

The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between there interior angles is 2 : 3. The number of sides of these polygons is respectively 

If the circumcenter of the triangle lies outside it, then the triangle is 

If in a triangle, the orthocenter lies on vertex, then the triangle is 

Ratio of the number of sides of two regular polygons is 5 : 6 and the ratio of their each interior angle is 24 : 25. Then the number of sides of these two polygons are 

Each internal angle of regular polygon is two times its external angle. Then the number of sides of the polygon is: 

Each interior angle of a regular polygon is 144⁰. The number of sides of the polygon is