Let Z be a complex number such that |Z|+Z=2+i (where i= -1 ), then |Z| is equal to

MHT CET 2024 Mathematics question

Let Z be a complex number such that (where ), then is equal to

Answer: (D)

Let . Then , so and . Squaring: , so and (valid since ). Hence , which is also

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Question ID VK-096856