If z≠$$0$$ lies on the circle |z−$$1$$|$$=1and$$ ω $$=5/z$$,then ω lies on

Correct option is 3a straight line

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If $z \neq 0$ lies on the circle $| z - 1 | = 1$ and $ω$ $= 5 / z,$ then $ω$ lies on

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detailed solution

Correct option is C

z=5/ωand |z−1|=1⇒ 5ω−1=1⇒|ω−5|=|ω|that is, ω lies on the perpendicular bisector of the segment joining 0 and 5+0iTherefore ω lies on the straight line Re⁡(ω)=5/2

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If z≠0 lies on the circle |z−1|=1and ω =5/z,then ω lies on

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If $z \neq 0$ lies on the circle $| z - 1 | = 1$ and $ω$ $= 5 / z,$ then $ω$ lies on