Let A= 1,2,3 and B= 1,2,4 , then f= (1,1),(1,2),(2,1),(3,4) is a - Vidyadip

MCQ

Let $A=\{1,2,3\}$ and $B=\{1,2,4\}$, then $f=\{(1,1),(1,2),(2,1),(3,4)\}$ is a

A
one-one function from $A$ to $B$
B
bijection from $A$ to $B$
C
surjection from $A$ to $B$
✓
None of these

✓

Answer

Correct option: D.

None of these

(d) : Here, $f$ is not a function from $A$ to $B$ as $f(1)$ is not unique.

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 "M.C.Q (1 Marks)" from Relations and Functions→Relations and Functions — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

Can $\frac{1}{\sqrt{3}},\frac{2}{\sqrt{3}},\frac{-2}{\sqrt{3}}$ be the direction cosines of any directed line?

Function $f\left( x \right) = \left( {x - 2} \right)\left| {x - 3} \right|$ is monotonically increasing in

The solution of the differential equation $\text{x}\frac{\text{dy}}{\text{dx}}=\text{y}+\text{x}\ \tan\frac{\text{y}}{\text{x}}$ is:

$\sin\frac{\text{x}}{\text{y}}=\text{x}+\text{C}$
$\sin\frac{\text{y}}{\text{x}}=\text{Cx}$
$\sin\frac{\text{x}}{\text{y}}=\text{Cy}$
$\sin\frac{\text{y}}{\text{x}}=\text{Cy}$

If $a\,.\,b = a\,.\,c,\,\,a\, \times b = a \times c$ and $a \ne 0,$ then

If $A$ is a $m \times n$matrix and $B$ is a matrix such that both $AB$ and $BA$ are defined, then the order of $B$ is

The ratio of the rate of flow of water in pipes varies inversely as the square of the radius of the pipes. What is the ratio of the rates of flow in two pipes diameters 2cm and 4cm?

1 : 6
1 : 4
1 : 2
3 : 1

Let $\overrightarrow{\mathrm{a}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}$ and $\overrightarrow{\mathrm{b}}=\hat{\mathrm{j}}-\hat{\mathrm{k}} .$ If $\overrightarrow{\mathrm{c}}$ is a vector such that $\vec{a} \times \vec{c}=\vec{b}$ and $\vec{a} \cdot \vec{c}=3$, then $\vec{a} \cdot(\vec{b} \times \vec{c})$ is equal to :

If $f(x)$ and $g(x)$ are functions satisfying $f(g(x))$ = $x^3 + 3x^2 + 3x + 4$ $f(x)$ = $log^3x + 3$, then slope of the tangent to the curve $y = g(x)$ at $x = \ -1$ is

Find the area of the triangle with vertices $P(4,5), Q(4,-2)$ and $R(-6,2)$.

The value of $\int\limits^\frac{\pi}{2}_{-\frac{\pi}{2}}\big(\text{x}^3+\text{x}\cos\text{x}+\tan^5\text{x}+1\big)\text{dx},$ is:

0
2
$\pi$
1