JEE Main 2026 Mathematics question
Let [·] denote the greatest integer function. If the domain of the function is [α, β], then α²+β² is equal to:
Answer: (B)
Solution
Need −3 ≤ x+[x] ≤ 3. On [−1,0): [x]=−1, giving x+[x]∈[−2,−1), valid. On [0,1): valid. On [1,2): x+[x]∈[2,3),
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