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Inverse Trigonometric Functions question

2023 · 10 Apr · Shift 2 · Q37

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2023 · 10 Apr · Shift 2 · Q37

Inverse Trigonometric Functions question

2023 · 10 Apr · Shift 2 · Q37

JEE MainMathematicsInverse Trigonometric FunctionsNumerical+4 / −1

If the domain of the function

f(x)=\sec ^{-1}\left(\frac{2 x}{5 x+3}\right)

is

[\alpha, \beta) \mathrm{U}(\gamma, \delta]

, then

|3 \alpha+10(\beta+\gamma)+21 \delta|

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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