Relations and Functions

Bihar Board Class 12 · Mathematics · 39 past questions

14 of 39 · show all

1. Q3 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B2025 Set A2025 Set E2024 Set J2024 Set D2019 Set F2016

   $f : A \to B$ will be an onto function if

   Try it →
2. Q11 2025

   Function $f:N \to N, f(x)=2x$ is

   Try it →
3. Q12 2025

   A function $f:X \to Y$ is one-one if $x_1,x_2 \in X, f(x_1)=f(x_2) \Rightarrow$

   Try it →
4. Q18 2025 Set A

   Let $A = \{1, 2, 3, \ldots, n\}$. How many bijective functions $f : A \to A$ can be defined ?

   Try it →
5. Q20 2025 Set E

   Let $A=\{1,2,3,\ldots,n\}$. How many bijective functions $f:A\to A$ can be defined ?

   Try it →
6. Q23 2023

   If A={1, 2}, B={a,b,c} then total number of functions from A to B is

   Try it →
7. Q24 2023

   If A={a, b}, B={1, 2, 3} then total number of one-one functions from A to B is

   Try it →
8. Q26 2023 Set E

   If $A=\{1,2\}$, $B=\{a,b,c\}$ then total number of functions from $A$ to $B$ is

   Try it →
9. Q27 2023 Set E

   If $A=\{a,b\}$, $B=\{1,2,3\}$ then total number of one-one functions from $A$ to $B$ is

   Try it →
10. Q28 2021 Set J2021 Set I

    If $A=\{a,b,c\}, B=\{1,2,3\}$ and $f=\{(a,1),(b,2),(c,2)\}$ then what type of a function is $f$?

    Try it →
11. Q29 2019 Set F

    If $f(x_1)=f(x_2)\Rightarrow x_1=x_2\ \forall\ x_1,x_2\in A$, then what type of a function is $f:A\to B$?

    Try it →
12. Q33 2018

    If $A = \{1,2,3\}$ $B = \{6,7,8\}$ and $f : A \to B$ is a function such that $f(x) = x + 5$ then what type of…

    Try it →
13. Q34 2018

    Examine whether the function $f:R\to R$ is one-one(injective) if $f(x)=x^3,\ x\in R$

    Try it →
14. Q39 2015

    If $f(x_1) = f(x_2) \Rightarrow x_1 = x_2, x_2 \in A$, then the function $f : A \to R$

    Try it →