Let × be a binary operation on Q, defined by a = 3ab 5 is: 1. Com… - Vidyadip

Question

Let × be a binary operation on Q, defined by $\text{a}\times\text{b}=\frac{3\text{ab}}{5}$ is:

Commutative.
Associative.
Both (a) and (b).
None of these.

✓

Answer

Both (a) and (b).

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→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

Integration of $\left(\sqrt{x}+\frac{1}{\sqrt{x}}\right)$ with respect to $x$ :

if $\text{ax}+\frac{\text{b}}{\text{x}}\geq\text{c}$ for all positive x where a, b, > 0, then.

$\text{ab} < \frac{\text{c}^{2}}{4}$
$\text{ab} > \frac{\text{c}^{2}}{4}$
$\text{ab} > \frac{\text{c}}{4}$
$\text{None of these}$

The differential equation obtained on eliminating A and B from $\text{y}=\text{A}\cos\omega\text{t}+\text{B}\sin\omega\text{t}$ is:

$\text{y}''+\text{y}'=0$
$\text{y}''-\omega^{2}\text{y}=0$
$\text{y}''=-\omega^{2}\text{y}=0$
$\text{y}''+\text{y}=0$

The general solution of the differential equation $x d y+y d x=0$ is:

If a relation $R$ is defined on $A=\{1,2,3\}$, then $R$ is, where $R =\{(1,1),(2,2),(3,3),(1,2),(2,3)$, $(1,3)\}$ :

A box contains 3 orange balls, 3 green balls and 2 blue balls. Three balls are drawn at random from the box without replacement. The probability of drawing 2 green balls and one blue ball is

$\tan^{-1}\frac{1}{11}+\tan^{-1}\frac{2}{11}$ is equal to:

0
$\frac{1}{2}$
-1
None of these

Solve for x : $\{\text{x}\cos(\cot^{-1}\text{x})+\sin(\cot^{-1}\text{x})\}^2=\frac{51}{50}$

$\frac{1}{\sqrt{2}}$
$\frac{1}{5\sqrt{2}}$
$2\sqrt{2}$
$5\sqrt{2}$

Evaluate $\begin{bmatrix}1&0&1\\0&0&1\\1&0&1\end{bmatrix}$ is:

2
0
1
-1

The following lines are $\hat{\text{r}}=\Big(\hat{\text{i}}+\hat{\text{j}}\Big)+\lambda\Big(\hat{\text{i}}+2\hat{\text{j}}-\hat{\text{k}}\Big)+\mu\Big(-\hat{\text{i}}+\hat{\text{j}}-2\hat{\text{k}}\Big)$

Collinear
Skew-lines
Co-planar lines
Parallel lines