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Draw a circle of radius 3.5 cm. Take any point K on it. Draw a tangent to the circle at K without using centre of the circle - Geometry Mathematics 2

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प्रश्न

Draw a circle of radius 3.5 cm. Take any point K on it. Draw a tangent to the circle at K without using centre of the circle.

उत्तर

Steps of construction:
1. Draw a circle of radius 3.5 cm. Take any point K on it.
2. Draw a chord KL through K. Take any point M on the major arc KL.
3. Join KM and ML.
4. Draw an arc of the same radius taking M and K as the centres. Taking H as the centre and radius equal to IJ, draw an arc intersecting the previous arc at G.
∴ ∠KML = ∠LKR
5. Join KG and extend it on both the sides to draw PR which is the required tangent to the circle at K.

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2015-2016 (March) Set A

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Do the following activity to draw tangents to the circle without using the center of the circle.

  1. Draw a circle with radius 3.5 cm and take any point C on it.
  2. Draw chord CB and an inscribed angle CAB.
  3. With the center A and any convenient radius, draw an arc intersecting the sides of angle BAC in points M and N.
  4. Using the same radius, draw an arc intersecting the chord CB at point R.
  5. Taking the radius equal to d(MN) and center R, draw an arc intersecting the arc drawn in the previous step. Let D be the point of intersection of these arcs. Draw line CD. Line CD is the required tangent to the circle.

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