Q5 of 12 Page 242

Draw AB such that AB = 10 cm. Draw ⨀(A, 3) and ⨀(B, 4). Construct tangents to each circle through the centre of the other circle.

Steps of Construction:


1. Draw a circle of any radius 3 and center A.


2. With A as center, draw a circle of radius 3 cm. With B as center, draw a circle of radius 4cm.



3. Draw a perpendicular bisector of AB which cuts AB at M.



4. With M as center and AM as radius, draw a circle.


5. The three circles intersect at K,L and M,N.



6. Join AM and AN. Join BK and BL.


7. AM,AN,BK and BL are the required tangents.



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