Draw a circle of radius 3 cm. Take a point A on its extended diameter at a distance of 7 cm from its centre. Draw two tangents to the circle from A.
Steps of Construction:
1. Draw a circle with centre f and radius 3cm
2. Extend diameter of circle to a distance of 7cm from centre and say A
3. Draw a perpendicular bisector of Af. Let O be the mid-point of Af.
4. With centre O, and radius OA, draw a circle.
5. Let this circle intersects the given circle at the point P and Q.
6. Join PA and QA.
PA and QA are the required tangents.