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Draw a Circle of Radius 3.6 Cm. Draw a Tangent to the Circle at Any Point on It Without Using the Centre. - Geometry Mathematics 2

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प्रश्न

Draw a circle of radius 3.6 cm. Draw a tangent to the circle at any point on it without using the centre.

बेरीज

उत्तर

Steps of Construction:
Step 1: Draw a circle with radius 3.6 cm. Mark any point C on it.
Step 2: Draw chord CB and an inscribed ∠CAB.
Step 3: With the centre A and any convenient radius draw an arc intersecting the sides of ∠BAC in points M and N.
Step 4: Using the same radius and centre C, draw an arc intersecting the chord CB at point R.
Step 5: Taking the radius equal to d(MN) and centre R, draw an arc intersecting the arc drawn in step 4. Suppose D be the point of intersection of these arcs. Draw line CD.

Here, line CD is the required tangent to the circle.

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पाठ 4: Geometric Constructions - Practice Set 4.2 [पृष्ठ ९८]

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बालभारती Geometry (Mathematics 2) [English] 10 Standard SSC Maharashtra State Board
पाठ 4 Geometric Constructions
Practice Set 4.2 | Q 3 | पृष्ठ ९८

संबंधित प्रश्‍न

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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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