Question

Draw a circle of radius 5 cm. Draw a pair of tangents to this circle, which are inclined to each other at an angle of ${60}^{\circ }$ [4 MARKS]

Answer 1

Construction : 3 Marks
Steps of construction : 1 Mark



Steps of construction :

1. Draw a circle with O as centre and radius = 5 cm.

2. Draw any diameter AOB of this circle.

3. Construct $\angle$ BOC = ${60}^{\circ }$ such that radius OC meets the circle at C.

4. Draw $AM\perp AB$ and $CN\perp OC$. Let AM and CN intersect each other at P.

5. PA and PC are the required tangents to the given circle, inclined at an angle of ${60}^{\circ }$