Complex NumbersHard

Question

ABCD is a square, vertices being taken in the anticlockwise sense. If A represents the complex number z and the intersection of the diagonals is the origin then

Options

A.B represents the complex number iz
B.D represents the complex number i
C.B represents the complex number i
D.D represents the complex number - i

Solution

(-z) ⇒  C
for B, = eiπ/2 ⇒  zB = iz ⇒ zD = - iz

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