Question

Draw a circle of radius 2.5 cm. Construct a pair of tangents from a point Pat a distance of 6 cm from the centre of the circle.

Answer 1

Step of Construction:

1. Draw a line segment OT = 6 cm.
2. Draw a circle of radius 2.5 cm taking O as centre.
3. Draw a perpendicular bisector EF of OT which meets OT at M.
4. Taking MT as radius and M as centre, draw a circle C₂ which intersects C₁ at Pand Q.
5. Join TP and TQ.
   Hence, TP and TQ are the required tangents.