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Inverse Trigonometric Functions question

2022 · 24 Jun · Shift 1 · Q34

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PYQ Library
JEE Main
Mathematics
Inverse Trigonometric Functions
2022 · 24 Jun · Shift 1 · Q34

Inverse Trigonometric Functions question

2022 · 24 Jun · Shift 1 · Q34

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1

The domain of the function

f(x) = {{{{\cos }^{ - 1}}\left( {{{{x^2} - 5x + 6} \over {{x^2} - 9}}} \right)} \over {{{\log }_e}({x^2} - 3x + 2)}}

is :

A
$( - \infty ,1) \cup (2,\infty )$
B
$(2,\infty )$
C
$\left[ { - {1 \over 2},1} \right) \cup (2,\infty )$
D
$\left[ { - {1 \over 2},1} \right) \cup (2,\infty ) - \left\{ 3,{{{3 + \sqrt 5 } \over 2},{{3 - \sqrt 5 } \over 2}} \right\}$

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