Question

Draw a circle of radius 3.3 cm. Draw a chord PQ of length 6.6 cm. Draw tangents to the circle at points P and Q. Write your observation about the tangents.

Answer 1

seg OP ⊥ line l …[Tangent is perpendicular to radius] 

seg OQ ⊥ line m

The perpendicular to seg OP and seg OQ at points P and Q

respectively will give the required tangents at P and Q.

.Radius = 3.3 cm 

∴ Diameter = 2 × 3.3 = 6.6 cm 

∴ Chord PQ is the diameter of the circle. 

∴ The tangents through points P and Q (endpoints of diameter) are parallel to each other.