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Inverse Trigonometric Functions question

2021 · 22 Jul · Shift 2 · Q35

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2021 · 22 Jul · Shift 2 · Q35

Inverse Trigonometric Functions question

2021 · 22 Jul · Shift 2 · Q35

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

If the domain of the function

f(x) = {{{{\cos }^{ - 1}}\sqrt {{x^2} - x + 1} } \over {\sqrt {{{\sin }^{ - 1}}\left( {{{2x - 1} \over 2}} \right)} }}

is the interval (

\alpha

,

\beta

], then

\alpha

+

\beta

is equal to :

A
${3 \over 2}$
B
2
C
${1 \over 2}$
D
1

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