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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Draw Any Circle. Take Any Point a on It and Construct Tangent at a Without Using the Centre of the Circle. - Geometry Mathematics 2

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प्रश्न

Draw any circle. Take any point A on it and construct tangent at A without using the centre of the circle.

उत्तर

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

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

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पाठ 4: Geometric Constructions - Problem Set 4 [पृष्ठ ९९]

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बालभारती Geometry (Mathematics 2) [English] 10 Standard SSC Maharashtra State Board
पाठ 4 Geometric Constructions
Problem Set 4 | Q 3 | पृष्ठ ९९

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