Let R = (a, a) be a relation on a set A. Then R is - Vidyadip

MCQ

Let $R = \{(a, a)\}$ be a relation on a set $A$. Then $R$ is

A
Symmetric
B
Antisymmetric
✓
Symmetric and antisymmetric
D
Neither symmetric nor anti-symmetric

✓

Answer

Correct option: C.

Symmetric and antisymmetric

c
(c) It is obvious.

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 1. relation and function→1. relation and function — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

The area enclosed by the curve $y={{\sin }^{-1}}\left( \cos x \right)$ and $y={{\cos }^{-1}}\left( \sin x \right)$ for $x\in \left[ \frac{\pi }{2},\frac{3\pi }{2} \right]$, is

$\int\limits_{0}^{5} \cos \left(\pi\left(x-\left[\frac{x}{2}\right]\right)\right) d x$

Where $[t]$ denotes greatest integer less than or equal to $t$, is equal to

If $y = {\log _2}[{\log _2}(x)]$, then ${{dy} \over {dx}}$ is equal to

Let $f : (-1, 1) \to R$ be a continuous function. If $\int\limits_0^{\sin \,x} {f\left( t \right)dt} = \frac{{\sqrt 3 }}{2}x$ , then $f\left( {\frac{{\sqrt 3 }}{2}} \right)$ is equal to

Consider the system of equations : $x + ay = 0$, $y + az = 0$ and $z + ax = 0$. Then the set of all real values of $'a'$ for which the system has a unique solution is

If G is the intersection of diagonals of a parallelogram ABCD and O is any point, then $\overrightarrow{\text{OA}}+\overrightarrow{\text{OB}}+\overrightarrow{\text{OC}}+\overrightarrow{\text{OD}}=$

$2\overrightarrow{\text{OG}}$
$4\overrightarrow{\text{OG}}$
$5\overrightarrow{\text{OG}}$
$3\overrightarrow{\text{OG}}$

If $R = \{(6, 6), (9, 9), (6, 12), (12, 12), (12,6)\}$ is a relation on set $A = \{3, 6, 9, 12\}$ , then relation $R$ is

$\overrightarrow{\text{r}} = \overrightarrow{\text{x}}{\hat{\text{i}}}+ \overrightarrow{\text{y}}{\hat{\text{j}}}$ is the equation of:

Yoz plane
A straight line joining the points ${\hat{\text{i}}}$ and ${\hat{\text{j}}}$
Zox plane
Xoy plane

If $\sin^{-1}\text{x}-\cos^{-1}\text{x}=\frac{\pi}{6},$ then x =

$\frac{1}{2}$
$\frac{\sqrt3}{2}$
$-\frac{1}{2}$
$\text{none of these}$

The degree of the differential equation $\left(\frac{d^2 y}{d x^2}\right)^3+\left(\frac{d y}{d x}\right)^2+\sin \left(\frac{d y}{d x}\right)+1=0$ is __________ .