Domain of the function $f(x) = \sqrt {2 - {{\sec }^{ - 1}}x} $ is
Domain of the function $f(x) = \sqrt {2 - {{\sec }^{ - 1}}x} $ is
- A
$\left( { - \infty , - 1} \right] \cup \left[ {1,\infty } \right)$
- B
$\left( { - \infty , - 1} \right] \cup \left[ {\sec 1,\infty } \right)$
- C
$\left( { - \infty ,\sec 2} \right] \cup \left[ {1,\infty } \right)$
- D
$\left( { - \infty ,\sec 2} \right] \cup \left[ {\sec 1,\infty } \right)$
Similar Questions
Statement $-1$ : The equation $x\, log\, x = 2 - x$ is satisfied by at least one value of $x$ lying between $1$ and $2$
Statement $-2$ : The function $f(x) = x\, log\, x$ is an increasing function in $[1, 2]$ and $g (x) = 2 -x$ is a decreasing function in $[ 1 , 2]$ and the graphs represented by these functions intersect at a point in $[ 1 , 2]$
Statement $-1$ : The equation $x\, log\, x = 2 - x$ is satisfied by at least one value of $x$ lying between $1$ and $2$
Statement $-2$ : The function $f(x) = x\, log\, x$ is an increasing function in $[1, 2]$ and $g (x) = 2 -x$ is a decreasing function in $[ 1 , 2]$ and the graphs represented by these functions intersect at a point in $[ 1 , 2]$
- [JEE MAIN 2013]
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