मराठी

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°.

आकृती

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
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 19: Constructions (Circles) - Exercise 19 [पृष्ठ २९२]

APPEARS IN

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

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.


Draw a line segment AB of length 7 cm. Taking A as centre, draw a circle of radius 3 cm and taking B as centre, draw another circle of radius 2 cm. Construct tangents to each circle from the centre of the other circle.Steps

 


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.


Use rule and compass only for answering this question. 
Draw a circle of radius 4 cm. Mark the centre as O. Mark a point P outside the circle at a distance of 7 cm from the centre. Construct two tangents to the circle from the external point P.
Measure and write down the length of any one tangent.


Draw a circle with centre O and radius 3 cm. Take a point P outside the circle. Draw tangents to the circle from P without using the centre and using only ruler and compasses. 


Draw two circles with radii 2.5 cm and 4 cm and with their centres 7 cm apart.
Draw a direct common tangent and a transverse common tangent. Calculate the length of the direct common tangent. 


Draw two concentric circles with radii 4 cm and 6 cm. Taking a point on the outer circle, construct a pair of tangents to inner circle. By measuring the lengths of both the tangents, show that they are equal to each other.


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 ______.


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×