हिंदी

Take a Point O on the Plane at the Paper. with O as Centre Draw a Circle of Radius 3 Cm. Take a Point P on this Circle and Draw a Tangent at P.

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प्रश्न

Take a point O on the plane at the paper. With O as center draw a circle of radius 3 cm. Take a point P on this circle and draw a tangent at P.

योग
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उत्तर

Steps of construction:
(i) Take a point O on the plane at the paper and draw a circle at radius 3 cm.

(ii) Take a point P on the circle and join OP.

(iii) Construction ∠ OPT = 90°

(iv) Produce TP to T' obtain the required tangent TPT'.

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अध्याय 20: Constructions - Exercise

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आर.एस. अग्रवाल Mathematics [English] Class 10 ICSE
अध्याय 20 Constructions
Exercise | Q 1

संबंधित प्रश्न

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.


  1. Using ruler and compasses only, construct a triangle ABC in which AB = 8 cm, BC = 6 cm and CA = 5 cm.
  2. Find its in centre and mark it I.
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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 3 cm. Form a point P, 7 cm away from the centre of the circle, draw two tangents to the circle. Also, measure the lengths of the tangents.


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°.


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. 


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Draw a direct common tangent and a transverse common tangent. Calculate the length of the direct common tangent. 


Draw a circle of radius 3 cm. Construct a square about the circle.


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


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.


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