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If z = ((1+i)^(2))/(alpha-i), alpha in R...

If z = `((1+i)^(2))/(alpha-i)`,` alpha in R ` has magnitude `sqrt((2)/(5))` then the value of `alpha` is (i) 3 only (ii) `-3` only (iii) 3 or -3 (iv) none of these

A

`-(1)/(5) - (3)/(5) I `

B

`- (3)/(5) - (1)/(5) I `

C

`(1)/(5) - (3)/(5) I `

D

`- (1)/(5) + (3)/(5) i`

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The correct Answer is:
A
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