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JEE Advanced 2017 Paper 1 Mathematics Q6
Mathematics
Problem
Let
a
,
b
,
x
a,b,x
a
,
b
,
x
and
y
y
y
be real numbers such that
a
−
b
=
1
a-b=1
a
−
b
=
1
and
y
≠
0
y\ne0
y
=
0
. If the complex number
z
=
x
+
i
y
z=x+iy
z
=
x
+
i
y
satisfies
Im
(
(
a
z
+
b
)
/
(
z
+
1
)
)
=
y
\operatorname{Im}((az+b)/(z+1))=y
Im
((
a
z
+
b
)
/
(
z
+
1
))
=
y
, then which of the following is(are) possible value(s) of
x
x
x
?
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