JEE Advanced 2024 Paper 1 Mathematics Q5

Mathematics

Problem

Let S = {a + b√2 : a, b ∈ ℤ}, T₁ = {(−1 + √2)ⁿ : n ∈ ℕ}, and T₂ = {(1 + √2)ⁿ : n ∈ ℕ}. Then which of the following statements is (are) TRUE?