TS EAMCET 2023 (Online) 14th May Morning Shift | Functions Question 28 | Mathematics

If ${ }^n C_r$ denotes the number of combinations of $n$ distinct things taken $r$ at a time, then the domain of the function $g(x)={ }^{(16-x)} C_{(2 x-1)}$ is

$\{1,2,3,4,5\}$

$\{0,1,2,3,4\}$

$\phi$

$\{0\}$

TS EAMCET 2023 (Online) 14th May Morning Shift

MCQ (Single Correct Answer)

-0

Let $X=\left\{\left.\left[\begin{array}{ll}a & b \\ c & d\end{array}\right] \right\rvert\, a, b, c, d \in R\right\}$. If $f: X \rightarrow R$ is defined by $f(A)=\operatorname{det}(A) . \forall A \in X$, then $f$ is

one-one but not onto

onto but not one-one

one-one and onto

neither one-one nor onto

TS EAMCET 2023 (Online) 14th May Morning Shift

MCQ (Single Correct Answer)

-0

The period of the function $f(x)=e^{\log (\sin x)}+(\tan x)^3-\operatorname{cosec}(3 x-5)$ is

$\pi$

$\pi / 2$

$2 \pi$

$2 \pi / 3$

TS EAMCET 2023 (Online) 13th May Evening Shift

MCQ (Single Correct Answer)

-0

Which one of the following functions is a bijection?

$f: R-Z \rightarrow[0,1]$ defined by $f(x)=\sqrt{x-[x]}$. (Here $[x]$ represents the greatest integer function)

$f: R \rightarrow(-\infty, 2)$ defined by $f(x)=4 x-x^2-3$

$f:(5, \infty) \rightarrow R-\{0\}$ defined by $f(x)=\frac{1}{\sqrt{x-5}}$

$f:[0,4] \rightarrow[0,4]$ defined by $f(x)=\sqrt{16-x^2}$

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