Q.3 Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q

Step of construction:

1. Draw a circle with centre O and radius 3 cm

2. Produce the diameter of the circle to both the ends up to P and Q such that OP = OQ = 7cm

3. Draw the perpendicular bisector of the line PO and QO
and mark the midpoint as M and M' respectively

4. Draw arc with centre M on circle on R and S

5. Draw arc with centre M' on circle on T and U

6. PR , PS , QT and QU are the required tangents.