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Mathematics

Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the center of the circle drawn. Draw two tangents PA and PB to the given circle and measure the length of each tangent.

Constructions

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Answer

Steps of Construction :

  1. Draw a circle with center O and radius 3 cm.

  2. From O, take a point P such that OP = 5 cm.

  3. Draw a perpendicular bisector of OP which intersects OP at M.

  4. With center M and radius OM, draw a circle which intersects the circle with center O at A and B.

  5. Join AP and BP. Measure AP and BP.

Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the center of the circle drawn. Draw two tangents PA and PB to the given circle and measure the length of each tangent. Constructions, Concise Mathematics Solutions ICSE Class 10.

Hence, AP and BP are required tangents.

On measuring,

AP = BP = 4 cm.

Hence, length of each tangent = 4 cm.

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