Question

Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.

Answer 1

Steps of construction: 

1. Draw a line segment AB of length 8 cm. 

2. With A and B as centres and 4 cm, 3 cm as radius draw two circles. 

3. Draw the perpendicular bisectors \(\overleftrightarrow{XY}\) of AB. Let \(\overleftrightarrow{XY}\) and AB meet at M.

4. Taking M as centre and MA or MB as radius draw a circle which cuts the circle with centre A at P and Q and circle with centre B at R, S. 

5. Join BP, BQ and AR, AS.