The points A,B,C and D represent the numbers Z1,Z2,Z3 and Z4.ABCD is rhombus;AC=2BD.if Z2=2+i ,Z4=1-2i,find Z1 and Z3
Ans) POI of diagonals: (3-i)/2.
Using concept of rotation:
2(0.5+2i)/2z1 + i-3 = i/2
Solving for Z1
Z1 = -1.5i +5.5
Now, using midpoint formula to get Z3
Z3 + Z1 = 2(3-i)/2
Z3=0.5i-2.5