Question

Draw a circle of radius 3.5 cm. From a point P, 6 cm from its centre, draw two tangents to the circle.

Answer 1

Steps of construction:

1. Draw a line segment OP = 6 cm.
2. From the point O, draw a circle of radius = 3.5 cm.
3. Draw a perpendicular bisector of OP. Let M be the midpoint of OP.
4. Taking M as centre and OM as radius draw a circle.
5. This circle intersects the given circle at Q and R.
6. Join PQ and PR, which are tangents to the circles.