Draw a circle with centre O and radius 3.5 cm. Take point P at a distance 5.7 cm from the centre. Draw tangents to the circle from point P.


Construction steps.
1. Draw a circle of radius 3.5 cm with centre O.
2. Mark a point P in the exterior of the circle so that OP = 5.7 cm
3.Join OP. Draw perpendicular bisector of segment OP and mark the midpoint M.
4. Draw a circle with radius OM and centre M.
5.Name the point of intersection of the two circles as A and B.
6.Draw line PA and line PB.
Line PA and PB are the required tangents to the circle from point P.

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