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Question
Construct a pair of tangents to a circle of radius 4 cm from a point which is at a distance of 6 cm from its centre.
Solution
Step of construction
Step I - First of all, we draw a circle of radius AB = 4 cm.
Step II - Mark a point P from the centre at a distance of 6 cm from the point O.
Step III - Draw a right bisector of OP, intersecting OP at Q.
Step IV - Taking Q as centre and radius OQ = PQ, draw a circle to intersect the given circle at T and T’.
Step V - Join PT and PT’ to obtain the required tangents.
Thus, PT and PT' are the required tangents.
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