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Offline Centres

Q.

State True or False.


Draw a line segment AB of length 9cm. With A and B as centres, draw circles of radius 5cm and 3cm respectively. Construct tangents to each circle from the centre of the other circle.


The constructed figure looks as follows.


Question Image

see full answer

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a

True

b

False 

answer is A.

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Detailed Solution

Let us construct the tangents using given information.
Draw line segment given AB=9 cm  
Draw circles A and B as centers draw circles of radius 5 cm  and 3 cm  respectively.
Draw the perpendicular bisector of AB and let M be the point where the perpendicular bisector intersects AB.
Take MA as radius and A as center, draw a circle passing through A and B.
Now, draw tangent to each circle from the center of the other circle.
The constructed figure looks like
Question ImageTherefore, the given figure is true.
The correct option is (1).
 
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