The relation "less than" in the set of natural numbers is - Vidyadip

MCQ

The relation "less than" in the set of natural numbers is

A
Only symmetric
✓
Only transitive
C
Only reflexive
D
Equivalence relation

✓

Answer

Correct option: B.

Only transitive

b
(b) Since $x < y,\,y < z \Rightarrow x < z\rlap{--} \vee x,\,y,\,z \in N$

$\therefore x\,R\,y,\,yR\,z \Rightarrow x\,R\,z$ , $\therefore$ Relation is transitive,

$\therefore x < y$ does not give $y < x$,

$\therefore$ Relation is not symmetric.

Since $x < x$ does not hold, hence relation is not reflexive.

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 STD 12 - 1. relation and function→STD 12 - 1. relation and function — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

Choose the correct answer from the given four options.A bag contains $5$ red and $3$ blue balls. If $3$ balls are drawn at random without replacement the probability of getting exactly one red ball is:

A man alternately tosses a coin and throws a dice beginning with the coin. The probability that he gets a head in the coin before he gets a $5$ or $6$ in the dice is

The point on the curve $9y^2 = x^3$, where the normal to the curve makes equal intercepts with the axes is:

The equations of tangent at those points where the curve $y = x^2 - 3x + 2$ meets x-axis are:

Choose the correct answer from the given four options.
Let $f : [0, 1] \rightarrow [0, 1]$ be defined by $\text{f}(\text{x})=\begin{cases}\text{x, if x is rational}1-\text{x, if x is irrational}\end{cases}\}$ Then $\text{(fof)x}$ is:

The equation of the plane through point $(1, 2, -3)$ which is parallel to the plane $3x - 5y + 2z = 11$ is given by:

Value of $\left| {\begin{array}{*{20}{c}}
0&{x - y}&{x - z} \\
{y - x}&0&{y - z} \\
{z - x}&{z - y}&0
\end{array}} \right|$ is

Choose the correct option from given four options:
$\frac{\text{dx}}{\sin(\text{x}-\text{a})\sin(\text{x}-\text{b})}$ is equal to:

Let $y=\{x\}^{[x]}$ where $\{x\}$ denotes the fractional part of $x$ $ \&$ $ [x] $ denotes greatest integer $ \le x,$ then $\int\limits_0^3 {\,y\,dx} $=

What is the degree of the differential equation $y =x \frac{d y}{d x}+\left(\frac{d y}{d x}\right)^{-1} ?$