Describe completely the locus of points in each of the following cases: (v) centre of a circle of varying radius and touching two arms of ∠ADC. (vi) centre of a circle of varying radius and touching a fixed circle, centre O, at a fixed point A on it.

Describe completely the locus of points in each of the following cases: (v) centre of a circle of varying radius and touching two arms of ∠ADC. (vi) centre of a circle of varying radius and touching a fixed circle, centre O, at a fixed point A on it.

(v) Construct the bisector BX of ∠ABC.

hence,

this bisector of an angle is the locus of the centre of a circle having different radii.

now,

any point on BX is equidistant from BA and BC which are the arms of ∠ABC.

ML Aggarwal Solutions for Class 10 Chapter 14 Image 17

(vi) a circle with O as centre is given with a point A on it.

now,

The locus of the centre of a circle which touches the circle at fixed point A on it is the line joining the points O and A.

ML Aggarwal Solutions for Class 10 Chapter 14 Image 18

i

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