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Question
Draw a circle with a diameter AB of length 6 cm. Draw a tangent to the circle from the end points of the diameter.
Solution
Analysis:
Diameter = 6 cm
∴ Radius = 3 cm
`{:("seg OA" ⊥ "line" l),("seg OB" ⊥ "line m"):}}` ......[Tangent is perpendicular to radius]
The perpendicular to seg OA and seg OB at points A and B respectively will give the required tangents at A and B.
Steps of construction:
- With center O, draw a circle of radius 3 cm.
- Draw a chord AB of length 6 cm.
- Draw rays OA and OB.
- Draw line l ⊥ ray OA at point A.
- Draw line m ⊥ ray OB at point B.
Lines l and m are the required tangents to the circle.
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