हिंदी

Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45°. - Mathematics

Advertisements
Advertisements

प्रश्न

Draw a circle of radius 5 cm. Draw two tangents to this circle so that the angle between the tangents is 45°.

आकृति

उत्तर


Steps of construction:

  1. Draw a circle with centre O and radius BC = 5 cm.
  2. Draw arcs making an angle of 180° – 45° = 135° at O such that ∠AOB = 135°.
  3. At A and B, draw two rays making an angle of 90° at each point which meet each other at point P, outside the circle.
  4. AP and BP are the required tangents which make an angle of 45° with each other at P.
shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 19: Constructions (Circles) - Exercise 19 [पृष्ठ २९२]

APPEARS IN

सेलिना Mathematics [English] Class 10 ICSE
अध्याय 19 Constructions (Circles)
Exercise 19 | Q 3 | पृष्ठ २९२

संबंधित प्रश्न

Draw a circle of radius 3 cm. Take two points P and Q on one of its extended diameter each at a distance of 7 cm from its centre. Draw tangents to the circle from these two points P and Q. Give the justification of the construction.


In the given figure PQ is a tangent to the circle at A, AB and AD are bisectors of `angleCAQ` and `angle PAC`. if `angleBAQ = 30^@. prove that:

1) BD is a diameter of the circle

2) ABC is an isosceles triangle


Draw a line AB = 5 cm. Mark a point C on AB such that AC = 3 cm. Using a ruler and a compass only, construct :

  1. A circle of radius 2.5 cm, passing through A and C.
  2. Construct two tangents to the circle from the external point B. Measure and record the length of the tangents.

Draw a circle of radius 3.5 cm. Mark a point P outside the circle at a distance of 6 cm from the centre. Construct two tangents from P to the given circle. Measure and write down the length of one tangent. 


Draw two tangents to a circle of radius 3.5 cm form a point P at a distance of 6.2 cm form its centre.


Write the steps of construction for drawing a pair of tangents to a circle of radius 3 cm , which are inclined to each other at an angle of 60° .


Draw a circle of radius 4 cm. From a point 6 cm away from its centre, construct a pair of tangents to the circle and measure their lengths.


Take a point O on the plane at the paper. With O as center draw a circle of radius 3 cm. Take a point P on this circle and draw a tangent at P.


Draw two concentric circles of radii 3 cm and 5 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 a circle of radius 2.5 cm. Construct a pair of tangents from a point Pat a distance of 6 cm from the centre of the circle.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×