Describe: (i)The locus of the centre of a given circle which rolls around the outside of a second circle and is always touching it. (ii) The locus of the centres of all circles that are tangent to both the arms of a given angle.
Describe: (i)The locus of the centre of a given circle which rolls around the outside of a second circle and is always touching it. (ii) The locus of the centres of all circles that are tangent to both the arms of a given angle.

i) The locus is the circumference of the circle concentric with the second circle whose radius is equal to the sum of the radii of the given two circles.

Selina Solutions Concise Class 10 Maths Chapter 16 ex. 16(B) - 14

ii) The locus of the centre of all circles whose tangents are the arms of a given angle is the bisector of that angle.

Selina Solutions Concise Class 10 Maths Chapter 16 ex. 16(B) - 15