1.

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.

Answer»

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.



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