Relations and Functions

Bihar Board Class 12 · Mathematics · 39 past questions

10 of 39 · show all

1. Q2 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D

   If operation $*$ is defined as $a*b=a^3+b^3$, then $4*(1*2)=$

   Try it →
2. Q5 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2024 Set J2019 Set F

   If the operation $*$ is defined as $a * b = 2a + b$, then $(2 * 3) * 4$ is

   Try it →
3. Q9 2026 Set J2026 Set B2024 Set D

   If the operation $*$ is defined as $a*b=2a+b$, then $(2*3)*4$ is

   Try it →
4. Q10 2026 Set J2026 Set B

   If operation $*$ is defined as $a * b = a^3 + b^3$, then $4 * (1 * 2) =$

   Try it →
5. Q15 2025 Set A2025 Set E

   If operation 'o' is defined as $(a\,o\,b)=a^3+b^3$, then $4\,o\,(1\,o\,2)=$

   Try it →
6. Q17 2025 Set A

   If operation 'o' is defined as $(a \circ b) = a^2 + b^2 - ab$, then $(1 \circ 2) \circ 3 =$

   Try it →
7. Q19 2025 Set E

   If operation 'o' is defined as $(a\,o\,b)=a^2+b^2-ab$, then $(1\,o\,2)\,o\,6=$

   Try it →
8. Q22 2023

   If the operation 'o' is defined as a o b = 3a + b then (2 o 3) o 5 =

   Try it →
9. Q25 2023 Set E

   If the operation 'o' is defined as $a\circ b=3a+b$ then $(2\circ3)\circ5=$

   Try it →
10. Q31 2018

    let $\vec{a} = \vec{i} + \vec{j} + 2\vec{k}$ How many binary operation can be defined on this set ?

    Try it →