Mathematics

Mathematics

Problem

Prove the following statements about a circle of centre OO: a. (i) No tangent can be drawn to the circle from a point lying strictly inside it. b. (ii) Exactly one tangent can be drawn to the circle from a point lying on it. c. (iii) Exactly two distinct tangents can be drawn to the circle from a point lying outside it. d. Give clear geometrical reasons and, where necessary, supporting constructions for each part.

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