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Let `a , b ,xa n dy` be real numbers such that `a-b=1a n dy!=0.` If the complex number `z=x+i y` satisfies `I m((a z+b)/(z+1))=y` , then which of the following is (are) possible value9s) of x?| `-1-sqrt(1-y^2)` (b) `1+sqrt(1+y^2)` `-1+sqrt(1-y^2)` (d) `-1-sqrt(1+y^2)`

A

`1-sqrt(1+y^2)`

B

`-1-sqrt(1+y^2)`

C

`1+sqrt(1+y^2)`

D

`-1+sqrt(1+y^2)`

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B, D
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