Let S= a+b 2 : a, b Z , T_ 1 = (-1+ 2 )^ n : n N , and T_ 2 = (1+ 2 )^ n : n N . Then…
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
Let \(S=\{a+b \sqrt{2}: a, b \in \mathbb{Z}\}, T_{1}=\left\{(-1+\sqrt{2})^{n}: n \in \mathbb{N}\right\},\)and
\(T_{2}=\left\{(1+\sqrt{2})^{n}: n \in \mathbb{N}\right\} .\)
Then which of the following statements is (are) TRUE?
\(T_{2}=\left\{(1+\sqrt{2})^{n}: n \in \mathbb{N}\right\} .\)
Then which of the following statements is (are) TRUE?
where f denotes the empty set.
- For any given
if and only if b = 0, where 
Answer
(C)
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