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Question
Draw a circle with center O and radius 3.4. Draw a chord MN of length 5.7 cm in a circle. Draw tangents to the circle from point M and N
Solution
Analysis:
`{:("seg ON" ⊥ "line l"),("seg OM" ⊥ "line m"):}}` ......[Tangent theorem]
The perpendicular to seg ON and seg OM at points N and M respectively will give the required tangents at N and M.
Steps of construction:
- With center O, draw a circle of radius 3.4 cm
- Draw chord MN of length 5.7 cm in the circle.
- Draw rays OM and ON.
- Draw line l ⊥ ray ON at point N.
- Draw line m ⊥ ray OM at point M.
- Lines l and m are the required tangents at points M and N to the circle.
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