Relations and Functions

Bihar Board Class 12 · Mathematics · 39 past questions

7 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 $4*(1*2)=$

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2. Q10 2026 Set J2026 Set B

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

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3. Q14 2025

   If $f(x) = 4-(x-7)^3$ then find $f^{-1}(x)$.

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4. Q19 2025 Set E

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

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5. Q21 2024 Set D2024 Set J

   Let $R$ be the relation in the set $N$ given by $R=\{(a,b): a=b-2, b>6\}$. The correct answer in the…

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6. Q31 2018

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

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7. Q35 2017

   If $A = \{1,2,3\}$, then how many equivalence relation can be defined on A containing $(1,2)$

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