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Draw a circle of radius 3 cm and construct a tangent to it from an external point without using the centre.

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1. With centre O and radius = 3cm, draw a circle.

2. Take any point P outside the circle.

3. Through the external point P draw a straight line PBA meeting the circle at A and B.

4. Draw a semi-circle on AP as diameter.

5.Draw BC ⊥ AP, which intersects the semi-circle at C.

6. With centre P and radius PC draw an arc cutting the circle at Q.

7. Join PQ. Then PQ is the required tangent.

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