Q4 of 14 Page 221

Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60°.

Steps of construction:

i. Draw a circle with radius 5 cm.



ii. Now, make a line AP perpendicular to radius OA.


iii. Construct OB at an angle of 120o from OA. (Because angle at centre is double the angle between two tangents).


iv. Join A and B to P; to get two tangents.


Here, ∠APB = 60o


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Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q.

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