3.2.16 Lines On a Plane

Condition: let the parties \ (a b \) and \ (a d \) fraud \ (a b c d \) are located on straight lines \ (a_ {1} x+b_ {1} y+c_ {1} = 0 \) and \ (a_ {2} x+b_ {2} y+c_ {2} = 0 \), respectively, and \ ((((( P \ left (x_ {p}; y_ {p} \ right) \) - the intersection point of its diagonals. Find a) the coordinates of the vertices of the rhombus; b) the equations of the parties \ (b c, d c \) and diagonals of the rhombus; c) Romb Square. Make a drawing. Starting data: \ beign {Tabular} {| C | C | C | C | C | C | C |} EC \ HLINE \ (X_ {p} \) & \ (Y_ {P} \) & LUA (A_ {1} \) ON ON \) OL c_ {1} \) & \ (A_ {2} \) & \ (b_ {2} \) & \ (C_ {2} \ \ HLINE 13 & 3 &4 & 2 & 4 & -3 & -9 \ LINE \ END {TABULAR}