The locus of all the points equidistant from a single point is a circle.
The locus of a point which is equidistant from two concentric circles is the ___ concentric with the given circles.
A locus of points which is equidistant from three non-collinear points is the ___ centre of the circle through the given points.
Describe the locus for questions 1 to 13 given below:
the locus of points inside a circle and equidistant from two fixed points on the circumference of the circle.
Describe:
(i) The locus of points at distances less than 3 cm from a given point.
(ii) The locus of points at distances greater than 4 cm from a given point.
(iii) The locus of points at distances less than 2.5 cm from a given point.
(iv) The locus of points at distances greater than or equal to 35 mm cm from a given point.
(v) The locus of the centre of a given circle which rolls around the outside of a second circle and is always touching it.
(vi) The locus of the centres of all circles that are tangent to both the arms of a given angle.
(vii) The locus of the mid-points of all chords parallel to a given chord of a circle.
(viii) The locus of points within a circle that are equidistant from the end points of a given chord.