Question

Draw two concentric circles of radii 2 cm and 5 cm. From a point P on outer circle, construct a pair of tangents to the inner circle.

Answer 1

Steps of Constructions:

1. Draw a circle with radius 2 cm and centre O.
2. Draw another circle with radius 5 cm and same centre O.
3. Take a point P on the circumference of outer (larger) circle and join O to P.
4. Draw a perpendicular bisector of OP, which intersects OP at O'.
5. Taking O'P as radius and O' as centre, draw a circle which intersects the smaller circle at A and B.
6. Join A to P and B to P.
   Hence, AP and BP are the required tangents.