Write the smallest equivalence relation on the set A = 1, 2, 3 . - Vidyadip

Question

Write the smallest equivalence relation on the set A = {1, 2, 3}.

✓

Answer

The smallest equivalence relation on the set A = {1, 2, 3} is R = {(1, 1), (2, 2), (3, 3)}.

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→Relations — all question types→MATHS STD 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

If $\vec{\text{a}}$ and $\vec{\text{b}}$ are unit vectors such that $\vec{\text{a}}\times\vec{\text{b}}$ is also a unit vector, find the angle between $\vec{\text{a}}$ and $\vec{\text{b}}.$

If $y=\sin ^{-1} x$ then find $\frac{d^2 y}{d x^2}$.

Find the set values of $\text{cosec}^{-1}\Big(\frac{\sqrt3}{2}\Big)$

Evaluate the following definite integrals:
$\int_{4}\limits^{9}\frac{1}{\sqrt{\text{x}}} \text{ dx}$

$\int\tan^2(2\text{x}-3)\text{dx}$

If $|\vec{a}|=10,|\vec{b}|=2, \vec{a} \cdot \vec{b}=12$, then find the value of $\vec{a} \times \vec{b}$.

Let A = {0, 1, 2, 3} and R be a relation on A defined as R = {(0, 0), (0, 1), (0, 3), (1, 0), (1, 1), (2, 2), (3, 0), (3, 3)}. Is R reflexive? symmetric? transitive?

Find the area bounded by the curve $y=x^3-6 x^2+8 x, x=a, x=b$ and the $x-$ axis.

Prove that $\text{f(x)}=\begin{cases}\frac{\text{x}-|\text{x}|}{\text{x}},&\text{x}\neq0\\2,&\text{x}=0\end{cases}$ is discontinuous at x = 0.

If $\vec{\text{a}}$ is a vector and m is a scalar such that m $\vec{\text{a}}=\vec0$, then what are the alternatives for m and $\vec{\text{a}}$?