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If ((1+i)/(1-i))^(3) - (( 1-i)/( 1+i))^(...

If `((1+i)/(1-i))^(3) - (( 1-i)/( 1+i))^(3) = x+iy` , then (x,y) is equal to

A

x =0, y = - 2

B

x = - 2, y = 0

C

x = 1, y = 1

D

x = - 1, y = 1

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If (1+i)^2/(2-i)=x+iy , then x+y is equal to

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    `6/5`
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    (-2, 1)
    C
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    D
    (2, 1)
  • If (x+iy)^(1//3)=2+3i , then 3x+2y is equal to

    A
    `-20`
    B
    `-60`
    C
    `-120`
    D
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