Question

Construct two tangents to a circle of radius 6 cm from a point 10 cm away from its centre. Write the steps of construction. [3 MARKS]

Answer 1

Construction : 2 Marks
Steps of construction : 1 Mark


Steps of construction :

1. Draw a circle with O as centre and radius 6 cm.

2. Mark a point P outside the circle such that OP = 10 cm.

3. Join OP and bisect it at a point M.

4. Draw a circle with M as the centre and radius equal to MP, to intersect the given circle at the points T and T'.

5. Join PT and PT.

6.Then, PT and PT' are the required tangents.