Question

Construct a pair of tangents to a circle of radius 4 cm from a point which is at a distance of 6 cm from its centre.

Answer 1

Step of construction

Step I - First of all, we draw a circle of radius AB = 4 cm.

Step II - Mark a point P from the centre at a distance of 6 cm from the point O. 

Step III - Draw a right bisector of OP, intersecting OP at Q.

Step IV - Taking Q as centre and radius OQ = PQ, draw a circle to intersect the given circle at T and T’.

Step V - Join PT and PT’ to obtain the required tangents.

Thus, PT and PT' are the required tangents.