Prove the following statements about a circle of centre :

MATHEMATICS · Multi-part · CBSE · Mathematics · Circles · Circles

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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