Draw a circle of radius 3.5 cm. Take two points A and B on one of its extended diameter, each at a distance of 5 cm from its centre. Draw tangents to the circle from each of these points A and B.
Steps of Construction:
1. Draw a circle of radius 3.5 cm taking O as the center.
2. Extend any diameter of the circle. On the extended diameter, mark two points in two directions, A and B such that OA = OB = 5 cm.
3. Draw perpendicular bisector of OA. The bisector cuts OA at P.
4. Draw perpendicular bisector of OB. The bisector cuts OB at Q.
5. Taking P as center and radius equal to length OP or PA, draw a circle.
6. The two circles intersect each other at K and L.
7. Join AK and AL. AK and AL are the required tangents from point A.
8. Now, Taking Q as center and radius equal to length OQ or QB, draw a circle.
9. The circle with center O and center Q intersect each other at M and N.
10. Join BM and BN. BM and BN are the required tangents from point B.
