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Draw a circle with a diameter AB of length 6 cm. Draw a tangent to the circle from the end points of the diameter. - Geometry Mathematics 2

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प्रश्न

Draw a circle with a diameter AB of length 6 cm. Draw a tangent to the circle from the end points of the diameter.

आकृति

उत्तर

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:

  1. With center O, draw a circle of radius 3 cm.
  2. Draw a chord AB of length 6 cm.
  3. Draw rays OA and OB.
  4. Draw line l ⊥ ray OA at point A.
  5. Draw line m ⊥ ray OB at point B.
    Lines l and m are the required tangents to the circle.
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अध्याय 4: Geometric Constructions - Q.2 (B)

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