Question

The center 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 line AB at a point P so that OP = 4.7 cm and to touch the given circle externally.

Answer 1

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.