**Question:**

Draw a line segment *AB* of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking *B* as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.

**Solution:**

Given that

Construct a circle of radius, and extended diameter each at distance of 7cm from its centre. Construct the pair of tangents to the circle from these two points .

We follow the following steps to construct the given

Step of construction

Step: I First of all we draw a line.

Step: II taking *A *as a centre and draw a circle of radius. Similarly, taking *B *as a centre and draw a circle of radius.

Step: III draw the perpendicular bisector of

Step IV : draw the another circle with taking the bisector point as centre and radius = mid point of which cut the point

Step: V joins and respectively*.** *as well as to obtain the require tangents.

Thus, are the required tangents.