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If a gt 0 and z=(1+i)^2/(a-1) has magni...

If `a gt 0 and z=(1+i)^2/(a-1)` has magnitude `sqrt(2/5) "the" bar z is ` equal to

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The correct Answer is:
5
`|z|=2/sqrt(a^(2)+1) = sqrt(2/5)`
`rArr 4/(a^(2)+1) = 2/5 rArr a^(2) + 1=10 rArr a^(2) =9 rArr a=3` (since `a gt 0`)
`t=(2t)/(3-i)`
`barz=-(2t)/(3+i) rArr barz =(-2t(3-i))/(10)`
`barz =(-6t -2)/10 rArr barz=-1/5 -3/5i`
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