1.

Draw a triangle ABC in which AB = 6 cm, BC= 4.5 cm and AC= 5 cm. Draw and label: (i) the locus of the centres of all circles which touch AB and AC, (ii) the locus of the centres of all circles of radius 2 cm which touch AB. Hence, construct the circle of radius 2 cm which touches AB and AC.

Answer»

Draw a triangle ABC in which AB = 6 cm, BC= 4.5 cm and AC= 5 cm.

Draw and label:

(i) the locus of the centres of all circles which touch AB and AC,

(ii) the locus of the centres of all circles of radius 2 cm which touch AB.

Hence, construct the circle of radius 2 cm which touches AB and AC.



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