Q10 of 17 Page 11

Draw a line segment AB of length 7 cm. Taking A as centre, draw a circle of radius 3 cm and taking B as centre, draw another circle of radius 2 cm. Construct tangents to each circle from the centre of the other circle.(CBSE 2011,2015)

Steps of Construction:


1.Draw a line segment AB of length 7cm.


2. With A as centre, draw a circle with radius of length equal to 3cm.


3. With B as centre, draw a circle with radius of length equal to 2cm.



4. Draw perpendicular bisector of AB, which cuts AB at O.



5.With O as centre and radius equal to OA(or OB), draw a circle.


6.The Circle of centre O cuts the centre of centre A at C and D.



7. Join BC and BD. Then BC and BD are the required tangents.


8. The circle of centre O cuts circle of centre B at E and F.


9. Join AE and AF. Then AE and AF are the required tangents.


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