Answer :

Steps of Construction:

1. Draw a circle of any radius 3 and center A.

2. With A as center, draw a circle of radius 3 cm. With B as center, draw a circle of radius 4cm.

3. Draw a perpendicular bisector of AB which cuts AB at M.

4. With M as center and AM as radius, draw a circle.

5. The three circles intersect at K,L and M,N.

6. Join AM and AN. Join BK and BL.

7. AM,AN,BK and BL are the required tangents.

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