the greatest integer function | ITF | JEE MAIN 2026

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JEE MAIN 2026

06-04-26_S1

Question

Let $[\cdot]$ denote the greatest integer function. If the domain of the function $f(x)=\sin ^{-1}\left(\frac{x+[x]}{3}\right)$ is $[\alpha, \beta)$, then $\alpha^2+\beta^2$ is equal to :

Select the correct option:

A

2

B

5

C

10

D

13

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

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