The set of all points in a plane that lie the same distance from a single point in the plane.Which one is the answer
(i) Collinear(ii) Angle(iii) Circle(iv) Coplanar

Solution:

The set of all points in a plane that lie the same distance from a single point in the plane is a circle.

Therefore, option (iii) is the correct answer.

From the above figure, we observe that for the different position of the point P, its distance from the fixed point O (centre) is the same.

Collinear: Three or more points that lie on the same line are collinear points .

Angle : In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle.

Coplanar : A set of points in space are coplanar if there exists a geometric plane that contains them all.

The set of all points in a plane that lie the same distance from a single point in the plane.Which one is the answer

Summary:

The set of all points in a plane that lie the same distance from a single point in the plane is a circle.