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Inverse Trigonometric Functions question

2024 · 4 Apr · Shift 1 · Q39

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2024 · 4 Apr · Shift 1 · Q39

Inverse Trigonometric Functions question

2024 · 4 Apr · Shift 1 · Q39

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

If the domain of the function

\sin ^{-1}\left(\frac{3 x-22}{2 x-19}\right)+\log _{\mathrm{e}}\left(\frac{3 x^2-8 x+5}{x^2-3 x-10}\right)

is

(\alpha, \beta]

, then

3 \alpha+10 \beta

is equal to:

A
95
B
100
C
97
D
98

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