Q3 of 805 Page 11

Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.


Step 1: We construct line segment AB of length 8 cm.



Step 2: Taking A as centre, we construct a circle of radius 4 cm and taking B as centre, we construct a circle of radius 3 cm.



Step 3: We construct perpendicular bisector CD of line segment AB. They intersect at point E.



Step 4: Taking AE as radius and E as centre, we construct arcs to cut circle A at points K and L. Similarly, Taking BE as radius and E as centre, we construct arcs to cut circle B at points M and N.



Step 5: We join points A and M, A and N, B and K, B and L to get tangents AM and AN from point A to circle B, and tangents BK and BL from point B to circle A.


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