JEE Advanced 2014 Mathematics question
Let ; k = 1, 2, …, 9. List I P. For each there exists a such that Q. There exists a k ∈ {1, 2, …, 9} such that has no solution z in the set of complex numbers. R. equals S. equals List II 1. True 2. False 3. 1 4. 2
Answer: (C)
Solution
The are the tenth roots of unity other than 1. P: with also in the list: True → 1. Q: always exists (z₁ ≠ 0), so the statement is False → 2. R: $(x - = 1
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