1. Draw a straight line \( A B \) of any length. Mark a point \( F, 65 \mathrm{~mm} \) from \( A B \). Trace the paths of a point \( P \) moving in such a way, that the ratio of its distance from the point \( F \), to its distance from \( A B \) is (i) 1 ; (ii) \( 3: 2 \); (iii) \( 2: 3 \). Plot at least 8 points. Name each curve. Draw a normal and a tangent to each curve at a point on it, \( 50 \mathrm{~mm} \) from \( F \).
