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Functions question

2023 · 11 Apr · Shift 2 · Q36
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  5. /2023 · 11 Apr · Shift 2 · Q36

Functions question

2023 · 11 Apr · Shift 2 · Q36

JEE MainMathematicsFunctionsMCQ+4 / −1
The domain of the function f(x)=1[x]2−3[x]−10f(x)=\frac{1}{\sqrt{[x]^{2}-3[x]-10}}f(x)=[x]2−3[x]−10​1​ is : ( where [x][\mathrm{x}][x] denotes the greatest integer less than or equal to xxx )
  1. A
    (−∞,−2)∪[6,∞)(-\infty,-2) \cup[6, \infty)(−∞,−2)∪[6,∞)
  2. B
    (−∞,−3]∪[6,∞)(-\infty,-3] \cup[6, \infty)(−∞,−3]∪[6,∞)
  3. C
    (−∞,−2)∪(5,∞)(-\infty,-2) \cup(5, \infty)(−∞,−2)∪(5,∞)
  4. D
    (−∞,−3]∪(5,∞)(-\infty,-3] \cup(5, \infty)(−∞,−3]∪(5,∞)
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