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Draw a circle of radius 4.2 cm. Draw a tangent to the circle at point P on the circle without using the center of the circle - Geometry Mathematics 2

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प्रश्न

Draw a circle of radius 4.2 cm. Draw a tangent to the circle at point P on the circle without using the center of the circle

आकृति

उत्तर



Steps of construction:

  1. Draw a circle of radius 4.2 cm and take any point P on it.
  2. Draw chord BP of any length and an inscribed ∠BAP of any measure.
  3. By taking A as a centre and any convenient distance on compass draw an arc intersecting the arms of ∠BAP in points P and Q.
  4. With P as a centre and the same distance in the compass, draw an arc intersecting the chord BP at point S.
  5. Taking radius equal to TQ and S as a centre, draw an arc intersecting the previously drawn arc. Name the point of intersection as R.
  6. Draw line RP.
    Line RP is the required tangent to the circle.
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अध्याय 4: Geometric Constructions - Q.2 (B)

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