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MCQMediumJEE Main 2026 · 22 January, Shift 2Functions

Mathematics Question from JEE Main 2026 · 22 January, Shift 2

Let [ ⋅ ][\,\cdot\,] denote the greatest integer function, and let f(x)=min⁡{2 x,x2}.f(x) = \min\{\sqrt{2}\,x, x^2\}. Let S={x∈(−2,2):the function g(x)=∣x∣ [x2] is discontinuous at x}.S = \{x \in (-2,2) : \text{the function } g(x) = |x|\,[x^2] \text{ is discontinuous at } x\}. Then ∑x∈Sf(x)\sum_{x \in S} f(x) equals

  • A

    2−22 - \sqrt{2}

  • B

    1−21 - \sqrt{2}

  • C

    26−322\sqrt{6} - 3\sqrt{2}

  • D

    6−22\sqrt{6} - 2\sqrt{2}

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