Answer :

Steps of Construction:

1.Draw a line segment AB of length 7cm.

2. With A as centre, draw a circle with radius of length equal to 3cm.

3. With B as centre, draw a circle with radius of length equal to 2cm.

4. Draw perpendicular bisector of AB, which cuts AB at O.

5.With O as centre and radius equal to OA(or OB), draw a circle.

6.The Circle of centre O cuts the centre of centre A at C and D.

7. Join BC and BD. Then BC and BD are the required tangents.

8. The circle of centre O cuts circle of centre B at E and F.

9. Join AE and AF. Then AE and AF are the required tangents.

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