Question
Give an example of a relation which is,
Symmetric and transitive but not reflexive.

Answer

Let R be the relation on A such that,
R = {(1, 2), (2, 1), (1, 3), (3, 1), (2, 3)}
We see that the relation R on A is symmetric and transitive, but 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

Similar questions

If $A=\left[\begin{array}{ccc}\frac{2}{3} & 1 & \frac{5}{3} \\ \frac{1}{3} & \frac{2}{3} & \frac{4}{3} \\ \frac{7}{3} & 2 & \frac{2}{3}\end{array}\right]$ and $B=\left[\begin{array}{ccc}\frac{2}{5} & \frac{3}{5} & 1 \\ \frac{1}{5} & \frac{2}{5} & \frac{4}{5} \\ \frac{7}{5} & \frac{6}{5} & \frac{2}{5}\end{array}\right]$, then compute $3 A-5 B$.
An urn contains 7 red and 4 blue balls. Two balls are drawn at random with replacement. Find the probability of getting,
2 Blue balls.
Give example of matrices:
A and B such that AB = 0 but BA ≠ 0
Find values of $k$ if area of triangle is $35$ square units having vertices as $(2, -6), (5, 4), (k, 4)$.
Find the absolute maximum value and the absolute minimum value of the function:
$f(x)=4 x-\frac{1}{2} x^{2}, x \in\left[-2, \frac{9}{2}\right]$
The total revenue in Rupees received from the sale of $x$ units of a product is given by $R(x)=3 x^2+36 x+5$. Find the marginal revenue, when $x=5$, where by marginal revenue we mean the rate of change of total revenue with respect to the number of items sold at any instant.
Find $\frac { d y } { d x }$ of the function $(\cos x)^y = (\cos y)^x.$
A bag contains $4$ red and $4$ black balls, another bag contains $2$ red and $6$ black balls. One of the two bags is selected at random and a ball is drawn from the bag which is found to be red. Find the probability that the ball is drawn from the first bag.
Let $f$ be a real function given by $\text{f(x)}=\sqrt{\text{x}-2}.$ Find the following: $f^2$ Also, show that $fof \neq f^2.$
Let * be a binary operation on the set Q of rational numbers as follows:
a * b = a + ab