Answer :

Steps of Construction:

1. With O as a center, draw a circle of radius of 4cm and another circle of radius 6cm.

2. Mark any point A on the bigger circle.

3. Join OA. Draw perpendicular bisector of OA.

4. The perpendicular bisector XY of OA intersects OA at B.

5. With B as center and radius of length OB (or BA), draw a circle.

6. This circle intersects the smaller circle(of radius 4cm) at P and Q.

7. Join AP and AQ.

8. Then AP and AQ are the required tangents.

9. The measured length of AP and AQ is 4. 4cm (approximately).

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