Question

Construct a pair of tangents to a circle of radius 4 cm from a point P lying outside the circle at a distance of 6 cm from the centre.

Answer 1

Steps of Construction:

1. Construct a circle of radius 4 cm.
2. Take a point P, 6 cm away from the centre of the circle.
3. Join OP.
4. Draw a perpendicular bisector of OM which intersects OP at M.
5. Taking M as a centre and OM as the radius, draw another circle which intersects the previous circle at A and B.
6. Join PA and PB. PA and PB are the required tangents.