Give an example of a relation which is, Transitive but neither re… - Vidyadip

Question

Give an example of a relation which is,
Transitive but neither reflexive nor symmetric.

✓

Answer

Let R be the relation on A such that
R = {(1, 2), (2, 3), (1, 3)}
The relation R on A is transitive, but neither symmetric nor 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 "2 Marks Questions" 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

If $A$ and $B$ are independent events show that the probability of happening at least one of $A$ and $B$ will be $1-P\left(A^{\prime}\right) P\left(B^{\prime}\right)$

A die, whose faces are marked 1, 2, 3 in red and 4, 5, 6 in green, is tossed. Let A be the event ‘‘number obtained is even’’ and B be the event ‘‘number obtained is red’’. Find if A and B are independent events.

Evaluate the following:
$\big[\hat{\text{i}}\hat{\text{j}}\hat{\text{k}}\big]+\big[\hat{\text{j}}\hat{\text{k}}\hat{\text{i}}\big]+\big[\hat{\text{k}}\hat{\text{i}}\hat{\text{j}}\big]$

If $\hat{\text{a}},\hat{\text{b}}$ are unit vectors such that $\hat{\text{a}}+\hat{\text{b}}$ is a unit vector, write the value of $\big|\hat{\text{a}}-\hat{\text{b}}\big|.$

If A and B are two events write the expression for the probability of occurrence of exactly one of two events.

A company produces two types of goods A and B, that require gold and silver. Each unit of type A requires 3 g of silver and 1 g of gold while that of type B requires 1 g of silver and 2 g of gold. The company can procure a maximum of 9 g of silver and 8 g of gold. If each unit of type A brings a profit of ₹ 40 and that of type B ₹ 50, formulate LPP to maximize profit.

Find the matrix $X$ for which $:\left[\begin{array}{ll}3 & 2 \\ 7 & 5\end{array}\right] X\left[\begin{array}{ll}-1 & 1 \\ -2 & 1\end{array}\right]=\left[\begin{array}{ll}2 & -1 \\ 0 & 4\end{array}\right]$

Find the domain of $f(x)=\sin ^{-1}\left(-x^2\right)$.

Show that $\text{y}=\text{e}^{-\text{x}}+\text{ax}+\text{b}$ is solution of the differential equation $\text{e}^\text{x}\frac{\text{d}^2\text{y}}{\text{dx}^2}=1$

The probability of finding a green signal on a busy crossing X is 30%. What is the probability of finding a green signal on X on two consecutive days out of three?