Let a,b,x and y be real numbers such that a−b=1 and y≠0. If the complex number z=x+iy satisfies Im(az+bz+1)=y, then when of the following is (are) possible value(s) of x?
A
1−√1+y2
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B
−1+√1−y2
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C
1+√1+y2
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D
−1−√1−y2
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Solution
The correct options are B−1+√1−y2 D−1−√1−y2 Im(az+bz+1)=y