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Draw a circle with the help …

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Draw a circle with the help of a banhle. Take a point outside the circle. Construct the pair of tangent from this point to the circle.

    • Posted by Sajal Patel 6 years, 4 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Sia ? 6 years, 4 months ago

    Steps of construction:

    1. Draw a circle with the help of a bangle.
    2. Take two non-parallel chords AB and CD of this circle.
    3. Draw the perpendicular bisectors of AB and CD. Let these intersect at O.
      Then O is the centre of this circle drawn.
    4. Take a point P outside the circle.
    5. Join PO and bisect it. Let M be the mid-point of PO.
    6. Taking M as centre and MO as radius, draw a circle. Let it intersect the given circle at the points Q and R.
    7. Join PQ and PR.
      Then, PQ and PR are the required two tangents.
      Then {tex}\angle PQO{/tex} is an angle in the semicircle and therefore,
      {tex}\angle PQO = 90^\circ {/tex}
      {tex} \Rightarrow PQ \bot OQ{/tex}
      Since OQ is a radius of the given circle, PQ has to be a tangent to the circle.
      Similarly, PR is also a tangent to the circle.

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