Draw any circle. Take any point A on it and construct tangent at A without using the centre of the
circle.
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Step 1 : Draw a circle with any radius and mark any point A on it
Step 2 : draw chord AB and an inscribed ∠BCA
Step 3 : With the centre C and any convenient radius draw an arc intersecting the sides of ∠ACB in points M and N .
Step 4 : Using the same radius and centre A , draw an arc intersecting the chord AB at point O
Step 5 : Taking the radius equal to d(MN) and Centre O, draw an arc intersecting the arc drawn step 4 . Suppose D be point of intersection of these arcs.Draw line AD.
Here line AD is the required tangent to the circle.
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