MathsJEE Main 6 Apr 2026, Shift 1·Q1·MCQ·Moderate

Inverse Trigonometry · Domain of inverse trigonometric functions

Let

[\cdot]

denote the greatest integer function. If the domain of the function

f(x) = \sin^{-1}\left(\dfrac{x + [x]}{3}\right)

is

[\alpha, \beta)

, then

\alpha^2 + \beta^2

is equal to:

(1)2
(2)5
(3)10
(4)13

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