Answer :

Steps of Construction:

1. With O as a center, draw a circle of radius of 3 cm and another circle of radius 5 cm.2. Mark any point A on the bigger circle, Join OA

3. Draw perpendicular bisector of OA, which intersects OA at B.

4. With B as center and radius of length OB (or BA), which intersects the smaller circle(of radius 3 cm) at P and Q.

5. Join AP and AQ.

Here AP and AQ are the required tangents.

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