Draw a line segment AB of length 9cm. With A and B as centres, draw circles of radius 5cm and 3cm respectively. Construct tangents to each circle from the centre of the other circle

 

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Note : This is similar to Ex 11.2, 5 of NCERT – Chapter 11 Class 10 Constructions

Check the answer here https:// www.teachoo.com /5755/543/Ex-11.2--5---Draw-a-line-segment-AB-of-length-8-cm.-Taking-A-as-centre/category/Ex-11.2/

  1. Class 10
  2. Solutions of Sample Papers for Class 10 Boards

Transcript

Question 24 Draw a line segment AB of length 9cm. With A and B as centres, draw circles of radius 5 cm and 3 cm respectively. Construct tangents to each circle from the centre of the other circle Steps of construction Draw line segment AB of length 9 cm Taking A as center, draw a circle of radius 5 cm Taking B as center, draw a circle of radius 3 cm Now, we need to draw tangent from point A to the right circle, and from point B to the left circle. To draw tangents to the right circle, we need to draw perpendicular bisector of line AB Make perpendicular bisector of AB Let M be the midpoint of AB. Taking M as center and MA as radius, draw a circle. 6. Let blue circle intersect left circle at P, Q Let blue circle intersect right circle at R, S Join BP, BQ, AR and AS ∴ AR, AS and BP, BQ are the required tangents

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.