List of top Mathematics Questions on types of relations

The number of relations, defined on the set {a, b, c, d which are both reflexive and symmetric, is equal to:}

Let $X = \{a_1, a_2, a_3, \ldots, a_n\}$ be a set consisting of $n$ elements. The relation $R = \{(a_1,a_1),(a_2,a_2),(a_3,a_3),\ldots,(a_n,a_n)\}$ on the set $X$ is:

The relation \( R = \{(1,3), (2,3), (2,4), (3,1), (4,4), (4,1)\} \) on the set \( X = \{1,2,3,4\} \) is:

The relation \( R = \{(1,1),(2,2),(3,3)\ \) on the set \( \{1,2,3\} \) is}

For real numbers \( x \) and \( y \), \( xRy \iff x - y + \sqrt{2} \) is an irrational number. Then the relation \( R \) is:

Let \(A\) and \(B\) be two finite sets. If \(n(A) = 7\) and the number of relations from \(A\) into \(B\) is 128, then \(n(B) =\)

Let \(f(x) = ax^2 + bx + c\) be such that f(1) = 3, f(-2) = λ and f(3) = 4. If f(0) + f(1) + f(-2) + f(3) = 14, then λ is equal to

Consider the set $A = \{1,2,3\}$ along with the relation $R = \{(1,1),(2,2),(1,2),(2,1),(3,3)\}$. Which of the following statements is true?

Let $R = \{(a,b): a \leq b^2\}$ be a relation on the set of all real numbers. Then $R$ is

Consider the set \( M = \{1,2,3\} \) along with the relation \( R = \{(1,2), (1,1), (3,1), (3,4), (3,3), (4,3)\ \). Which of the following statements is true?

If ρ=\(x,y)mid x²+y²=1; x,y∈R then ρ is

If \(\rho=\{(x,y)\mid x^2+y^2=1;\ x,y\in\mathbb R\}\), then \(\rho\) is

Let \( R \) be the relation on the set \( \mathbb{R} \) of all real numbers, defined by \( aRb \) if \( |a - b| \leq 1 \). Then, \( R \) is