1. **Stating the problem:** We have a circle (C) with center O and diameter BE of length 6 cm. Point A lies on the extension of line BE such that OA = 5 cm. Line AF is tangent to the circle at point F. The tangent line at point E meets line AF at point N. Lines NE and OF intersect at point I. 2. **Understanding the elements:** - Diameter BE = 6 cm, so radius $r = \frac{6}{2} = 3$ cm. - O is the center of the circle. - A lies on line BE extended beyond B or E such that OA = 5 cm. - AF is tangent at F, so OF is radius perpendicular to AF at F. - Tangent at E is perpendicular to OE. 3. **Drawing the figure:** - Draw circle with center O. - Mark points B and E on the circle such that BE is diameter (length 6 cm). - Extend line BE beyond B or E to locate A such that OA = 5 cm. - Draw tangent AF at F on the circle. - Draw tangent at E meeting AF at N. - Draw lines NE and OF intersecting at I. 4. **Key properties:** - Tangent to circle is perpendicular to radius at point of tangency. - Since BE is diameter, O is midpoint of BE. This SVG visually represents the described figure with all points and lines labeled accordingly.