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If x and y are complex numbers, then the...

If `x` and `y` are complex numbers, then the system of equations `(1+i)x+(1-i)y=1,2i x+2y=1+i` has

A

unique solution

B

no solution

C

infinte number of solutions

D

none of theses

Text Solution

Verified by Experts

The correct Answer is:
C
Observing carefully the system of equations , we find
`(1+i)/(2i) = (1-i)/(2) =(1)/(1+i)`
Hence,there are infinite number of solutions.
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