NCERT/Class 12/Mathematics/Relations and Functions

Relations and Functions

Class 12 · Mathematics

105 questions34 easy45 medium26 hard

Sample Questions

Q1.The relation R = {(1, 2), (2, 1)} on set {1, 2, 3} is

  • AReflexive and symmetric
  • BSymmetric only
  • CTransitive and symmetric
  • DSymmetric but neither reflexive nor transitive

Q2.Let R be the relation on Z given by R = {(a, b): 2 divides a - b}. The equivalence class [1] is

  • ASet of all even integers
  • BSet of all odd integers
  • CSet of all integers
  • D{1}

Q3.The relation 'x is wife of y' is

  • AReflexive
  • BSymmetric
  • CTransitive
  • DNone of these

Q4.Let R be the relation in N given by R = {(a, b): a = b - 2, b > 6}. Then which of the following is true?

  • A(2, 4) in R
  • B(3, 8) in R
  • C(6, 8) in R
  • D(8, 7) in R

Q5.If f(x) = cos x and g(x) = 3x^2, then f o g(x) equals

  • A3 cos^2 x
  • Bcos(3x^2)
  • C3 cos(x^2)
  • Dcos^2(3x)

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four
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Concepts Covered

Bijective FunctionComposition of FunctionsEmpty RelationEquivalence ClassesEquivalence RelationInvertible FunctionsOne-one (Injective) FunctionOnto (Surjective) FunctionReflexive RelationRelationsSymmetric RelationTransitive RelationTypes of FunctionsUniversal Relation

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