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(E-Book) Class X Mathematics: Chapter - 11 (Geometrical Construction)

Submitted by guru on Tue, 08/11/2009 - 15:36

Chapter 11

Geometrical Construction

  1. From a point P on the circle of radius 4cm, draw a tangent to the circle without using the centre. Also write steps of construction. Draw a circle of radius 4.5cm. Take a point P on it. Construct a tangent at the point P without using the centre of the circle. Write the steps of construction.
     
  2. Draw a circle of radius 5cm. Take a point P on it. Without using the centre of the circle, construct a tangent at the point P. Write the steps of construction also.
     
  3. Draw a circle of diameter 12cm. From a point P, 10cm away from its centre, construct a pair of tangent to the circle. Measure the lengths of the tangent segments.
     
  4. Draw a circle of radius 5cm. from a point P, 7cm away from its centre, construct a pair of tangents to the circle. Measure the length of the tangent segments.
     
  5. Draw a circle of radius 7cm. From a point P, 8cm away from its centre, Construct a pair tangents to the circle. Measure the length of the tangent segments.
     
  6. Construct a triangle ABC in which BC = 13cm, CA = 5cm and AB = 12cm. Draw its incircle and measure its radius.
     
  7. Construct a triangle ABC in which AB = 3cm, BC = 4cm and AC = 5cm. Draw the circumcircle of triangle ABC.
     
  8. Construct the circumcircle of an equilateral triangle with side 6cm. Write the steps of construction....



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