MCQ
The domain of definition of the function $\text{f(x)}=\log|\text{x}|$ is:
- A$\text{R}$
- B$\big(-\infty,0\big)$
- C$(0,\infty)$
- D$\text{R}-\{0\}$
Solution:
$\text{f(x)}=\log|\text{x}|$
For f(x) to be defined,
$|\text{x}|>0,$ which is always true.
But $|\text{x}|\neq0$
$\Rightarrow\text{x}\neq0$
Thus, $\text{domain(f)}=\text{R}-\{0\}$
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
The point represented by the complex number 2 - i is rotated about origin through an angle $\frac{\pi}{2}$ in the clockwise direction, the new position of point is: