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Draw a Circle with Centre 0 and Radius 2.5 Cm. Take a Point Pat a Distance of 6 Cm from the Centre

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Question

Draw a circle with centre O and radius 2.5 cm. Take a point P at a distance of 6 cm from the centre. Using ruler and compasses only construct the tangents to the circle from the point P.

Sum
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Solution

Steps of construction: 

(i) Draw a circle of radius 2.5 cm with centre O. 

(ii) Join the centre O to the given point P which is 6 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. 

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Chapter 18: Constructions - Exercise 18.1

APPEARS IN

Frank Mathematics Part 2 [English] Class 10 ICSE
Chapter 18 Constructions
Exercise 18.1 | Q 14

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