Home › JEE Main › mathematics › Relations and Functions › A relation $R$ on a set $A$ is reflexive if:
A relation $R$ on a set $A$ is reflexive if:
A$(a,a)\in R$ for every $a\in A$
B$(a,b)\in R \Rightarrow (b,a)\in R$
C$(a,b),(b,c)\in R \Rightarrow (a,c)\in R$
D$R$ is empty
Answer & Solution
Correct answer: A. $(a,a)\in R$ for every $a\in A$
Reflexive means every element relates to itself: (a,a) ∈ R for all a ∈ A.
Related questions
The graph of $f(x) = 1/x$ in $\mathbb{R} - \{0\}$ is:The function $f: \mathbb{R} \to \mathbb{R}, f(x) = x^2$ is:A relation $R$ from $A$ to $B$ qualifies as a function when:If $|A| = 3$ and $|B| = 4$, the number of elements in $A \times B$ is:The number of bijective functions from a set with $n$ elements onto itself is:On the set $\{1,2,3\}$, the relation $R = \{(1,1),(2,2),(3,3)\}$ is:A function is invertible if and only if it is:If $f(x) = 2x$ and $g(x) = x + 1$, then $(g\circ f)(x)$ equals: