ABCD is a rhombus

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

ABCD is a rhombus. Its diagonals AC and BD intersect at the point M and satisfy

BD = 2AC

. If the points D and M represent the complex numbers

1 + i

and

2 - i

, where

i = \sqrt{-1}

, respectively, find A.