The binary operation defined on N by a b = a + b + ab for all a, … - Vidyadip

MCQ

The binary operation $\times$ defined on $N$ by $a \times b = a + b + ab$ for all $a, b \in N$ is:

A
Commutative only.
B
Associative only.
✓
Both commutative and associative.
D
None of these.

✓

Answer

Correct option: C.

Both commutative and associative.

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

The shortest distance between the lines $\frac{x+2}{1}=\frac{y}{-2}=\frac{z-5}{2}$ and $\frac{x-4}{1}=\frac{y-1}{2}=\frac{z+3}{0}$ is $......$.

The value of $\int_{-1}^{1} x ^{2} e ^{\left[x^{3}\right]} dx ,$ where $[ t ]$ denotes the greatest integer $\leq t ,$ is

Which of the following is not true about feasibility?

Choose the correct answer from the given four options.The value of $\sin^{-1}\bigg[\cos\Big(\frac{33\pi}{5}\Big)\bigg]$ is:

If $f(x)=x^2 \sin \frac{1}{x}$ where $x \neq 0$ then the value of the function $f$ at $x =0$, so that the function is continuous at $x = 0$ , is

$\int_{}^{} {\sqrt {\frac{x}{{{a^3} - {x^3}}}} \;dx = } $

A straight line $L$ on the $xy-$plane bisects the angle between $OX$ and $OY.$ What are the direction cosines of $L:$

If $A$ is any skew $-$ symmetric matrix of odd order then $∣A∣$ equals:

If $d_1$ is the shortest distance between the lines $x+1=2 y=-12 z, x=y+2=6 z-6$ and $d_2$ is the shortest distance between the lines $\frac{x-1}{2}=\frac{y+8}{-7}=\frac{z-4}{5}, \frac{x-1}{2}=\frac{y-2}{1}=\frac{z-6}{-3}$, then the value of $\frac{32 \sqrt{3} \mathrm{~d}_1}{\mathrm{~d}_2}$ is:

A shooter can hit a given target with probability $\frac{1}{4}$.She keeps firing a bullet at the target until she hits it successfully three times and then she stops firing.The probability that she fires exactly six bullets lies in the interval