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Question

Construct a circle of 3.5 cm radius. Take a point P outside the circle and draw a tangent of 5 cm to the circle.

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Solution

Steps of construction :
1.Take a point O as center and with radius 3.5 cm ,draw a circle.
2.Mark a point P outside the circle such that OP=5 cm.join O to P.
3.Draw a perpendicular bisector of OP that cuts OP at M.
4.With M as a center and radius MO (or MP),draw a circle cutting the first circle at A and B.
5.Join P to A and P to B
Then PA and PB are the required two tangents.

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