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Draw two concentric circles of radii \[\mathbf{3}\text{ }\mathbf{cm}\text{ }\mathbf{and}\text{ }\mathbf{5}\text{ }\mathbf{cm}.\]Taking a point on outer circle construct the pair of tangents to the other. Measure the length of a tangent and verify it by actual calculation.
Draw two concentric circles of radii \[\mathbf{3}\text{ }\mathbf{cm}\text{ }\mathbf{and}\text{ }\mathbf{5}\text{ }\mathbf{cm}.\]Taking a point on outer circle construct the pair of tangents to the other. Measure the length of a tangent and verify it by actual calculation.
CBSE | Class 10 | Constructions | Exercise 10.4 | Maths | NCERT Exemplar
Draw two concentric circles of radii \[\mathbf{3}\text{ }\mathbf{cm}\text{ }\mathbf{and}\text{ }\mathbf{5}\text{ }\mathbf{cm}.\]Taking a point on outer circle construct the pair of tangents to the other. Measure the length of a tangent and verify it by actual calculation.

NCERT Exemplar Class 10 Maths Chapter 10 Ex. 10.4 Question-3

Steps of construction:

  1. Draw a circle with focus \[\mathbf{O}\]and radius \[\mathbf{3}\text{ }\mathbf{cm}.\]
  2. Draw one more circle with focus \[\mathbf{O}\]and radius \[\mathbf{5}\text{ }\mathbf{cm}.\]
  3. Take a point \[\mathbf{P}\]on the boundary of bigger circle and join\[\mathbf{OP}\].
  4. Draw one more circle with measurement \[\mathbf{OP}\]to such an extent that it meets the littlest circle at \[\mathbf{A}\text{ }\mathbf{and}\text{ }\mathbf{B}.\]
  5. Join\[\mathbf{A}\text{ }\mathbf{to}\text{ }\mathbf{P}\text{ }\mathbf{and}\text{ }\mathbf{B}\text{ }\mathbf{to}\text{ }\mathbf{P}\].

 

Consequently \[\mathbf{AP}\text{ }\mathbf{and}\text{ }\mathbf{BP}\]are the necessary digressions.

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