1.

\[ABCD\] is a rhombus. Its diagonals \[AC\] and \[BD\] intersect at the point \[M\] and satisfy \[BD=2AC\]. If the points \[D\] and \[M\] represents the complex numbers \[1+i\] and \[2-i\] respectively, then \[A\] represents the complex number

A. \[3-\frac{1}{2}i\]or \[1-\frac{3}{2}i\]
B. \[\frac{3}{2}-i\]or \[\frac{1}{2}-3i\]
C. \[\frac{1}{2}-i\]or \[1-\frac{1}{2}i\]
D. None of these
Answer» B. \[\frac{3}{2}-i\]or \[\frac{1}{2}-3i\]


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