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JEE Main Mathematics question

MathematicsComplex NumbersJEE Main

Consider the following statements: I. The points having affixes from an equilateral triangle, iff . II. If is a complex number, then is periodic. III. If and , then . Which of the statements given above are correct?

Answer: (D)

Solution

I: with , , (), the sum iff , which is the equilateral-triangle condition; so I is

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Question ID VK-013582