List of top Mathematics Questions on types of relations

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

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

On $R$, a relation $\rho$ is defined by $x \rho y$ if and only if $x - y$ is zero or irrational. Then

On the set $R$ of real numbers, the relation $\rho$ is defined by $x \rho y, (x, y) \in R$

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

The number of onto mappings from the set A = {1, 2, ....., 100} to set B = {1, 2} is:

The maximum number of equivalence relations on the set $A = \{1$, $2$, $3\}$ are