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Complex Numbers question

2005 · Shift 0 · Q95

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2005 · Shift 0 · Q95

Complex Numbers question

2005 · Shift 0 · Q95

JEE MainMathematicsComplex NumbersMCQ+4 / −1

If

\,\omega = {z \over {z - {1 \over 3}i}}\,

and

\left| \omega \right| = 1

, then

z

lies on :

A
an ellipse
B
a circle
C
a straight line
D
a parabola

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