Draw a circle of radius 3 cm. From a point 10 cm away from its centre.Construct the pair of tangents to the circle.

Step 1: Take a point O on any plane as centre, draw a circle of radius 3 cm. Locate a point P anywhere on the same plane, 10 cm away from point O. And Join OP.

Step 2: Set the compass more than half of length OP, and draw a curve from O and P consecutively such that the curves intersect each other. Then draw a perpendicular from the intersection on the line OP and mark it as M, such that M bisects OP.

Step 3: Take M as centre and MO as radius, draw a circle.

Step 4: Let the circle intersect the previous circle at point Q and R.

Step 5: Join PQ and PR. PQ and PR are the required tangents.