JEE Main Relations and Functions — practice questions
30 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice JEE Main Relations and Functions in the app →If $n(A)=3$ and $n(B)=2$, then $n(A\times B)$ equals:The Cartesian product $A\times B$ is the set of all:If $n(A)=2$ and $n(B)=3$, the number of relations from $A$ to $B$ is:If $n(A)=2$ and $n(B)=3$, the number of functions from $A$ to $B$ is:The domain of the function $f(x)=\dfrac{1}{x-2}$ is:The range of the function $f(x)=x^2,\; x\in\mathbb{R}$ is:The domain of $f(x)= qrt{x-1}$ is:If $(x+1,\,y-2)=(3,\,1)$, then $(x,y)$ equals:The domain of $f(x)= qrt{4-x^2}$ is:If $f(x)=x^2+1$, then $f(2)$ equals:A relation $f$ from $A$ to $B$ is a function if every element of $A$ has:Which of the following sets of ordered pairs represents a function?For finite sets, $n(A\times B)$ equals:A relation $R$ on a set $A$ is reflexive if:An equivalence relation is one that is:A function $f:A\to B$ is one-one (injective) if:A function $f:A\to B$ is onto (surjective) if:A bijective function is one that is:The function $f:\mathbb{R}\to\mathbb{R}$ given by $f(x) = 2x + 3$ is:The function $f:\mathbb{R}\to\mathbb{R}$ given by $f(x) = x^2$ is:The number of one-one functions from $\{1,2\}$ to $\{a,b,c\}$ is:For functions $f$ and $g$, the composition $(g\circ f)(x)$ means:If $f(x) = 2x$ and $g(x) = x + 1$, then $(g\circ f)(x)$ equals:A function is invertible if and only if it is:On the set $\{1,2,3\}$, the relation $R = \{(1,1),(2,2),(3,3)\}$ is:The number of bijective functions from a set with $n$ elements onto itself is:If $|A| = 3$ and $|B| = 4$, the number of elements in $A \times B$ is:A relation $R$ from $A$ to $B$ qualifies as a function when:The function $f: \mathbb{R} \to \mathbb{R}, f(x) = x^2$ is:The graph of $f(x) = 1/x$ in $\mathbb{R} - \{0\}$ is: