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If $z \in C$ and $2 z = | z | + i,$ then $z$ equals

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36+12i

36+13i

36+14i

36+16i

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detailed solution

Correct option is A

|2z|2=|z|2+1⇒ 3|z|2=1⇒|z|=1/3Thus z=36+12i ( Verify the options )

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If z∈C and 2z=|z|+i,then z equals

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If $z \in C$ and $2 z = | z | + i,$ then $z$ equals