Download App

Functions — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsFunctions1 Mark
MCQ
$f : R \rightarrow R$ given by $\text{f(x)}=\text{x}+\sqrt{\text{x}^2}$ is:
  • A
    Injective.
  • B
    Surjective.
  • C
    Bijective.
  • ✓
    None of these.
✓

Answer

Correct option: D.
None of these.
$\text{f(x)}=\text{x}+\sqrt{\text{x}^2}=\text{x}\pm\text{x}=0\text{ or }2\text{x}$
$\Rightarrow$ Each element of the domain has $2$ images.
$f$ is not a function.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Functions→Functions — all question types→Maths STD 12 Science question papers→Maharashtra Board STD 12 Science question papers→Maharashtra Board question paper generator→

Similar questions

$\int_0^{\pi / 2} e ^x \sin x d x=$
→
The distance between the lines $\frac{x}{2}=\frac{y}{-1}=\frac{z}{2}$ and $\frac{x-1}{2}=\frac{y-1}{-1}=\frac{z-1}{2}$ is
→
The angle between the planes and $\bar{r} \cdot(\bar{i}-2 \bar{j}+3 \bar{k})+4=0$ and

$\bar{r} \cdot(2 \bar{i}+\bar{j}-3 \bar{k})+7=0$ is

→
$\int_3^7 \sqrt{(x-3)(7-x)} d x=$
→
If $\tan^{-1}3+\tan^{-1}\text{x}=\tan^{-1}8,$ then $x =$
→
$\hat{ i } \cdot(\hat{ j } \times \hat{ k })+\hat{ j } \cdot(\hat{ i } \times \hat{ k })+\hat{ k } \cdot(\hat{ i } \times \hat{ j })$ is equal to
→
The number which exceeds its square by the greatest possible quantity is,
→
The perimeter of a $\triangle A B C$ is 6 times the arithmetic mean of the sines of its angles. If the side a is 1 , then the angle A is
→
A square matrix has inverse, if $|A|$ is
→
A unit vector perpendicular to the plane of $\bar{a}=2 \hat{i}-6 \hat{j}-3 \hat{k}$ and $\bar{b}=4 \hat{i}+3 \hat{j}-\hat{k}$ is
→