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Draw a pair of tangents to …

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Draw a pair of tangents to a circle of radius 5 cm which are inclined to each other at an angle of 60 degree.

    • Posted by Aditya Singh 4 years, 10 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 4 years, 10 months ago

    Steps of construction:

    1. Draw circle with centre O and radius OA = 5 cm, .
    2. Mark another point B on the circle such that ∠AOB = 120°, supplementary to the angle between the tangents. Since the angle between the tangents to be constructed is 60°.

              ∴ ∠AOB = 180° – 60° = 120°.  

          3.Construct angles of 90° at A and B and extend the lines so as to intersect at point P.

          4. Thus, AP and BP are the required tangents to the circle.

     

    1Thank You

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