Q4 of 12 Page 242

Draw ⨀(O, r). is a diameter of 0(0, r) . Points A and B are on the such that A—P—Q and P—Q—B. Construct tangents through A and B to ⨀(O, r) .

Steps of Construction:


1. Draw a circle of any radius(r ) and center O. Draw a diameter PQ of this circle.


2. Extend PQ both the sides as APQB is a straight line.



3. Draw a perpendicular bisector of OA and OB which cuts OA and OB.



4. Taking OA and OB as diameters, draw two circles.



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


6. Join AK and AL. Join BM and BN.



7. AK,AL,BM and BN are the required tangents.


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