मराठी

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. - Mathematics

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. 

आकृती
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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

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.


Draw a circle of radius 4.5 cm. Draw two tangents to this circle so that the angle between the tangents is 60°.  


The bisectors of angles A and B of a scalene triangle ABC meet at O.

  1. What is the point O called?
  2. OR and OQ are drawn perpendicular to AB and CA respectively. What is the relation between OR and OQ?
  3. What is the relation between angle ACO and angle BCO?

Construct a tangent to a circle of radius 4 cm form a point on the concentric circle of radius 6 cm and measure its length. Also, verify the measurement by actual calculation.


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 an isosceles triangle with sides 6 cm, 4 cm, and 6 cm. Construct the incircle of the triangle. Also, write the steps of construction.


Draw a circle of radius 3 cm and construct a tangent to it from an external point without using the center.


A circle of radius r has a center O. What is first step to construct a tangent from a generic point P which is at a distance r from O?


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.


Construct a pair of tangents to a circle of radius 3 cm which are inclined to each other at an angle of 60°.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×