Mathematics
Draw a circle of radius 3 cm. Mark its centre as C and mark a point P such that CP = 7 cm. Using ruler and compasses only, construct two tangents from P to the circle.
Constructions
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Answer
Steps of construction :
Construct a circle with centre as C and radius = 3 cm.
Mark a point P at a distance of 7 cm from the centre. Join CP. Draw its perpendicular bisector to meet CP at M.
With M as centre and CM (or MP) as radius, draw a circle. Let this circle intersect the circle with C as centre at points A and B.
Join PA and PB.
Hence, PA and PB are tangents to the circle with centre C.
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