हिंदी

Draw a Circle of Radius 4 Cm. Take a Point P Out Side the Circle Without Using the Centre at the Circle. Draw Two Tangent to the Circle from Point P.

Advertisements
Advertisements

प्रश्न

Draw a circle of radius 4 cm. Take a point P outside the circle without using the center at the circle. Draw two tangents to the circle from point P.

योग
Advertisements

उत्तर


Steps of construction:

(i) Draw a circle of radius 4 cm.
(ii) Take a point P outside the circle and draw a secant PAB, intersecting the circle at A and B.
(iii) Produce AP to C such that AP = CP.
(iv) Draw a semicircle with CB as diameter.
(v) Draw PD and CB intersecting the semi-circle at D.
(vi) With P as centre and PD as a radius draw arcs to intersect the given circle at T and T'.
(vii) Join PT and PT'. Then PT and PT' are the required tangents.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 20: Constructions - Exercise

APPEARS IN

आर.एस. अग्रवाल Mathematics [English] Class 10 ICSE
अध्याय 20 Constructions
Exercise | Q 26

संबंधित प्रश्न

Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths. 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 ∠CAQ and ∠PAC. if ∠BAQ = 30°. Prove that:

  1. BD is a diameter of the circle.
  2. ABC is an isosceles triangle.


Draw a circle circumscribing a regular hexagon with side 5 cm. 


Draw an inscribing circle of a regular hexagon of side 5.8 cm.


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. 


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 two circles of radii 2.5 cm and 3.5 cm respectively so that their centres are 8 cm apart. Draw direct comm on tangents to the circle. 


Draw two circles of radii 3.5 cm and 2 cm respectively so that their centres are 6 cm apart. Draw direct common tangents to the circle and show that they are equal in length.


A pair of tangents can be constructed from a point P to a circle of radius 3.5cm situated at a distance of ______ from the centre.


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×