JEE Main Mathematics question

MathematicsComplex NumbersJEE Main

If denotes the set of all rational numbers and for any with integers, and , then observe the following statements. I. is real for each . II. is a complex number for each . Which of the following is correct?

Answer: (C)

Solution

Statement I claims is always real. Test : , which is not real. So statement I is FALSE. Statement II claims every value is a

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Question ID VK-007440