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Using Ruler and Compasses Only, Draw Tangents to a Circle of Radius 3 Cm from a Point 5 Cm from the Centre - Mathematics

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Question

Using ruler and compasses only, draw tangents to a circle of radius 3 cm from a point 5 cm from the centre. What is the length of each of them ? 

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Solution

Steps of oonstruction: 

(i) Draw a cirde of radius 3 cm with centre O. 

(ii) Join the centre O to the given point P which is 5 cm away from O. 

(iii) Draw a perpendicular bisector of OP. Let M be the mid-point of OP. 

(iv) With Mas centre and radius OM, draw a circle cutting the first circle at A and B. 

(v) Join PA and PB. 

(vi) PA and PB are the required tangents. 

(vii) On measuring, PA and PB = 4 cm 

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Chapter 18: Constructions - Exercise 18.1

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 18 Constructions
Exercise 18.1 | Q 16

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