Question

) Construct a pair of tangents to a circle of radius 5cm which
are inclined to each other at an angle of 600.
•
An 2
D
1) and
16-​

Answer 1

Answer:

Steps of construction:

 

Draw circle with centre O and radius OA = 5 cm, .

Mark another point B on the circle such that ∠AOB = 120°, supplementary to the angle between the tangents. Since the angle between the tangents to be constructed is 60°.

 

         ∴ ∠AOB = 180° – 60° = 120°.  

     3.Construct angles of 90° at A and B and extend the lines so as to intersect at point P.

     4. Thus, AP and BP are the required tangents to the circle.