हिंदी

Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the centre of the circle drawn. Draw two tangents PA and PB to the given circle and measure the length of each tangent.

Advertisements
Advertisements

प्रश्न

Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the centre of the circle drawn. Draw two tangents PA and PB to the given circle and measure the length of each tangent. 

आकृति
Advertisements

उत्तर

 
Steps of construction:

  1. Draw a circle with centre O and radius 3 cm.
  2. From O, take a point P such that OP = 5 cm.
  3. Draw a bisector of OP which intersects OP at M.
  4. With centre M, and radius OM, draw a circle which intersects the given circle at A and B.
  5. Join AP and BP.
    AP and BP are the required tangents.
    On measuring AP = BP = 4 cm.
shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 19: Constructions (Circles) - Exercise 19 [पृष्ठ २९२]

APPEARS IN

सेलिना Concise Mathematics [English] Class 10 ICSE
अध्याय 19 Constructions (Circles)
Exercise 19 | Q 1. | पृष्ठ २९२

संबंधित प्रश्न

Draw a circle of diameter 9 cm. Mark a point at a distance of 7.5 cm from the centre of the circle. Draw tangents to the given circle from this exterior point. Measure the length of each tangent.


Construct a triangle ABC in which base BC = 5.5 cm, AB = 6 cm and ∠ABC = 120°.

  1. Construct a circle circumscribing the triangle ABC.
  2. Draw a cyclic quadrilateral ABCD so that D is equidistant from B and C. 

Draw a circle of radius 4.2. Draw a pair of tangents to this circle inclined to each other at an angle of 45°


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° .


Using ruler and compasses only, draw tangents to a circle of radius 3 cm from a point 5 cm from the centre. What is the length of each of them ? 


Draw two circles of radii 3 cm and 3.5 cm, their centres being 8 cm apart. Construct a transverse common tangent and measure its length. 


To draw a pair of tangents to a circle which are inclined to each other at an angle of 35°. It is required to draw tangents at the end points of those two radii of the circle, the angle between which is ______.


To draw a pair of tangents to a circle which are inclined to each other at an angle of 60°, it is required to draw tangents at end points of those two radii of the circle, the angle between them should be ______.


Draw a circle of radius 4 cm. Construct a pair of tangents to it, the angle between which is 60º. Also justify the construction. Measure the distance between the centre of the circle and the point of intersection of tangents.


Construct a pair of tangents to a circle of radius 4 cm from a point P lying outside the circle at a distance of 6 cm from the centre.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×