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Let a , b ,xa n dy be real numbers such ...

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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The correct Answer is:
A, C
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