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Question
Draw a circle of suitable radius. Take point T on it. Draw a tangent through point T.
Solution
Steps of construction:
- Make a circle with the centre at O.
- Take any point T on in the circle, attach it to OT, and extend it to X.
- Take points A and B on as OT and TX, respectively, resulting in TA = AB.
- Draw two arcs on both sides of OX, with A as the centre and a radius greater than AT.
- Draw two arcs connecting the arcs generated in step (iv) with a B as centre and radius bigger than BT.
- Join the arcs to form the line LM, which passes through point T. The needed tangent to the circle at point T is line LM.
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