Let [·] denote the greatest.... | JEE Main 2026 | Continuity

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JEE MAIN 2026

22-01-2026 S2

Question

Let $[\bullet]$ denote the greatest integer function, and let $f(x)=\min \left\{\sqrt{2} x, x^2\right\}$. Let $\mathrm{S}=\left\{x \in(-2,2)\right.$ : the function $\mathrm{g}(x)=|x|\left[x^2\right]$ is discontinuous at $\left.x\right\}$. Then $\sum_{x \in S} f(x)$ equals

Select the correct option:

A

$1-\sqrt{2}$

B

$2-\sqrt{2}$

C

$\sqrt{6}-2 \sqrt{2}$

D

$2 \sqrt{6}-3 \sqrt{2}$

✓ Correct! Well done.

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