Relations and Functions

Bihar Board Class 12 · Mathematics · 39 past questions

10 of 39 · show all

1. Q1 2026 Set A2026 Set C2026 Set D

   What type of a relation is "less than" in the set of real numbers ?

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2. 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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3. 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

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4. Q4 2026 Set A2026 Set H2026 Set E2026 Set C2026 Set F2026 Set D2026 Set J2026 Set B

   If $f:R\to R$, where $f(x)=3x-5$, then $f^{-1}(x) =$

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5. 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

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6. Q6 2026 Set A2026 Set H2026 Set E2026 Set B2026 Set F2026 Set J2026 Set D2025 Set A2025 Set E

   If $n(A)=4$ and $n(B)=2$, then $n(A\times B)=$

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7. Q7 2026 Set H2026 Set E2026 Set F2026 Set J2026 Set B2018

   What type of a relation is " Less then" in the set of real numbers ?

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8. Q8 2026 Set H2026 Set E2026 Set C2026 Set F2026 Set J2026 Set D

   If $f:R\to R$; $f(x)=(3-x^3)^{1/3}$, then prove that $(f\circ f)(x)=x$.

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9. Q9 2026 Set J2026 Set B2024 Set D

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

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10. 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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