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+b z+1 )=y, then which of the following is(are) possible value(s) of x?

JEE Advanced 2017 Mathematics question

Let , , and be real numbers such that and . If the complex number satisfies , then which of the following is(are) possible value(s) of ?

Answer: (A),(B)

. With : .

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Question ID VK-026633