When we study two dimensional coordinate geometry, then the set of all points in xy-plane is the universal set.

In three dimensions , what is the set of all points for which x = 0 ?

Show that the relation ‘is congruent to’ on the set of all triangles in a plane is an equivalence relation

Show that the relation "is parallel to" on the set S of all straight lines in a plane is an equivalence relation.

When we are using sets containing natural numbers, then N is the universal set.

What is an equivalence relation? Show that the relation of'similarity' on the set S of all triangle in a plane is an equivalence relation.

State whether the given set is finite or infinite. Set of all points on a line segment 1 cm long .

Show that the relation R on the set A of points in a plane, given by R={(P ,\ Q): Distance of the point P from the origin is same as the distance of the point Q from the origin}, is an equivalence relation. Further show that the set of all points related to a point P!=(0,\ 0) is the circle passing through P with origin as centre.

Show that the relation R on the set A of points in a plane, given by R={(P ,\ Q): Distance of the point P from the origin is same as the distance of the point Q from the origin}, is an equivalence relation. Further show that the set of all points related to a point P!=(0,\ 0) is the circle passing through P with origin as centre.

Illustrate in the complex plane the following set of points and explain your answer |Z|=3

Illustrate in the complex plane the set of points z satisfying |z + i- 2| le 2