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The centre O of a circle of a radius 1.3 cm is at a distance of 3.8 cm from a given straight line AB. Draw a circle to touch the given straight AB at a point P so that OP = 4.7 cm and to touch the given circle externally.

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Steps of construction :

1. Take a point O at a distance of 3.8 cm from AB and with O as centre draw a circle of radius 1.3 cm.

2. With O as centre and radius equal to 4.7 cm, draw an arc cut BA at P. Draw PX perpendicular to AB.

3. Produce AO to cut the circle at C and join CP cutting the circle at D.

4. Join OD and produce it to cut PX at S. With S as centre and radius = SD, draw the circle PDR. This is the required circle.

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