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Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10

Draw a circle of radius 4.5 cm. Take a point on the circle. Draw the tangent at that point using the alternate segment theorem. - Mathematics

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Question

Draw a circle of radius 4.5 cm. Take a point on the circle. Draw the tangent at that point using the alternate segment theorem

Diagram
Sum

Solution

Radius of the circle = 4.5 cm


Steps of construction:

1. With O as centre, draw a circle of radius 4.5 cm.

2. Take a point L on the circle. Through L draw any chord LM.

3. Take a point M distinct from L and N on the circle, so that L, M, N are in anti-clockwise direction. Join LN and NM.

4. Through “L” draw tangent TT’such that ∠TLM = ∠MNL

5. TT’ is the required tangent.

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Circles and Tangents
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Chapter 4: Geometry - Exercise 4.4 [Page 198]

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Samacheer Kalvi Mathematics [English] Class 10 SSLC TN Board
Chapter 4 Geometry
Exercise 4.4 | Q 12 | Page 198
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