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Complex Numbers question

2015 · Shift 0 · Q41

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2015 · Shift 0 · Q41

Complex Numbers question

2015 · Shift 0 · Q41

JEE MainMathematicsComplex NumbersMCQ+4 / −1

A complex number z is said to be unimodular if

\,\left| z \right| = 1

. Suppose

{z_1}

and

{z_2}

are complex numbers such that

{{{z_1} - 2{z_2}} \over {2 - {z_1}\overline {{z_2}} }}

is unimodular and

{z_2}

is not unimodular. Then the point

{z_1}

lies on a :

A
circle of radius 2.
B
circle of radius ${\sqrt 2 }$ .
C
straight line parallel to x-axis
D
straight line parallel to y-axis.

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