1
TS EAMCET 2020 (Online) 11th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

Let $[x]$ denote the greatest integer not more than $x$. If $A$ and $B$ are the domains of the functions $f(x)=\frac{x-[x]}{\sqrt{|x|-x}}$ and $g(x)=\frac{x-[x]}{\sqrt{|x|+x}}$ respectively, then

A

$A \cup B=R$

B

$A \cap B=\phi$

C

$A-B=(-\infty, 0)$

D

$B-A=(0, \infty)$

2
TS EAMCET 2020 (Online) 11th September Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $\operatorname{sech}^{-1}(1 / 2)-\operatorname{cosech}^{-1}(3 / 4)=\log _e k$, then

A

$3 k^2-12 k-1=0$

B

$3 k^2-12 k+1=0$

C

$9 k^2-12 k+1=0$

D

$9 k^2-12 k-1=0$

3
TS EAMCET 2020 (Online) 10th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $f(x)=x-\frac{1}{x}, x \neq 0$, then $3 f(x)=$

A

$3[f(x)]^2-f\left(x^2\right)$

B

$[f(x)]^2-f\left(x^3\right)$

C

$f\left(x^3\right)-[f(x)]^3$

D

$f\left(x^3\right)-f\left(x^2\right)$

4
TS EAMCET 2020 (Online) 10th September Evening Shift
MCQ (Single Correct Answer)
+1
-0

Let $[\cdot]$ denote greatest integer function. If $f(x)=[x]$ and $g(x)=3\left[\frac{x}{3}\right]$, then the set of all real $x$ such that $f(x)=g(x)$ is

A

$\mathbf{R}$

B

$\{x \in \mathbf{R} / x=3 k, k \in \mathbf{Z}\}$

C

$\{x \in \mathbf{R} / 3 k-1

D

$\{x \in \mathbf{R} / 3 k \leq x<3 k+1, k \in \mathbf{Z}\}$

TS EAMCET Subjects

Browse all chapters by subject