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 right triangle ABC in which AB = 6 cm, BC = 8 cm and ∠B = 90°. Draw BD perpendicular from B on AC and draw a circle passing through the points B, C and D. Construct tangents from A to this circle.


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 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. 


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


Using ruler and compasses only, draw an equilateral triangle of side 4.5 cm and draw its circumscribed circle. Measure the radius of the circle.  


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


Draw a circle at a radius of 4 cm. Take a point on it. Without using the centre at the circle, draw a tangent to the circle at point P.


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.


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 ______.


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?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×