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Mathematics · JEE

Relations, type of relations, equivalence relations Revision for JEE

24+ syllabus-aligned questions available

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Revise Relations, type of relations, equivalence relations by covering every subtopic once, drilling formulas, then solving 24+ timed MCQs with full solutions.

Use this Relations, type of relations, equivalence relations revision checklist before mocks and the final exam. Reinforce concepts with 24+ syllabus-aligned MCQs on Goodmarks.

Revision checklist

  1. 1.Core idea: Relations, type of relations, equivalence relations
  2. 2.Relates to other subtopics in Sets, Relations and Functions
  3. 3.Union, intersection, complement, power set
  4. 4.Equivalence relations
  5. 5.Master Relations, type of relations, equivalence relations definitions and standard results
  6. 6.Solve 20 timed MCQs for Relations, type of relations, equivalence relations

Syllabus context

Part of Sets, Relations and Functions in JEE Main Mathematics.

Free sample questions

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Q1MathsUnit 1: Sets, Relations and Functions
Which of the following is NOT equivalent to p→q?\boldsymbol{p} \rightarrow \boldsymbol{q} ?
Q2MathsUnit 1: Sets, Relations and Functions
Assertion The relation R\boldsymbol{R} given by R={(1,3),(4,2),(2,4),(2,3),(3,1)}\boldsymbol{R}=\{(\mathbf{1}, \mathbf{3}),(\mathbf{4}, \mathbf{2}),(\mathbf{2}, \mathbf{4}),(\mathbf{2}, \mathbf{3}),(\mathbf{3}, \mathbf{1})\} on a set A={1,2,3,4}A=\{1,2,3,4\} is not symmetric. Reason For symmetric relation R=R−1\boldsymbol{R}=\boldsymbol{R}^{-1}
Q3MathsUnit 1: Sets, Relations and Functions
Which of the following statements is the contrapositive of the statement, You win the game if you know the rules but are not overconfident.
Q4MathsUnit 1: Sets, Relations and Functions
x2=xyx^{2}=x y is a relation (defined on set RR ) which is
Q5MathsUnit 1: Sets, Relations and Functions
Consider the following two statements: P:P: If 7 is an odd number, then 7 is divisible by 2. Q: If 7 is a prime number, then 7 is an odd number If V1V_{1} is the truth value of the contrapositive of P\mathrm{P} and V2V_{2} is the truth value of contrapositive of Q,Q, then the ordered pair (V1,V2)\left(V_{1}, V_{2}\right) equals:
Q6MathsUnit 1: Sets, Relations and Functions
Which of the following statements is the inverse of "Our pond floods whenever there is a thunderstorm."?
Q7MathsUnit 1: Sets, Relations and Functions
R\mathrm{R} is a relation in A\mathrm{A} and (a,b)∉r,(\mathrm{a}, \mathrm{b}) \notin \mathrm{r}, implies (b, a) ∉R\notin \mathrm{R} then R\mathrm{R} is said to be relation
Q8MathsUnit 1: Sets, Relations and Functions
Let ρ\rho be a relation defined on N,N, the set of natural numbers, as ρ={(x,y)∈N×N:2x+y=41}\boldsymbol{\rho}=\{(\boldsymbol{x}, \boldsymbol{y}) \in \boldsymbol{N} \times \boldsymbol{N}: \mathbf{2} \boldsymbol{x}+\boldsymbol{y}=\mathbf{4 1}\} then

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Follow the checklist on this page, revise formulas daily, and attempt mixed MCQs every 2–3 days.

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