Mathbee CBSE Mathbee · CBSE Class 12 Maths
Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_relations

Class 12 Maths · Relations And Functions · Mcq Single Correct #37

Let \(R\) be a relation on the set \(A\) of ordered pairs of positive integers defined by \((x,y)R(u,v)\) if and only if \(xv=yu\). Then \(R\) is

✅ Step-by-Step Solution

Final Answer: Option (D): An equivalence relation
  1. The condition is equivalent to \(x/y=u/v\). Equality of these ratios is reflexive, symmetric and transitive; hence this is an equivalence relation.

Master Chapter 1: Relations And Functions

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Relations And Functions.
📘 Chapter Notes & All Exercises 🚀 Open Interactive Workspace →
← Previous Question
Let \(A=\{1,2,3,4\}\) and \(R=\{(2,2),(3,3),(4,4),(1,2)\}\) be a…
Next Question →
On \(\mathbb{R}\), define \(aRb\iff |a|\le b\). Then \(R\) is

More Practice Questions in Relations And Functions

Q1Q2Q3Q4Q5Q6Q7Q8Q9Q10Q11Q12Q13Q14Q15Q16Q17Q18Q19Q20Q21Q22Q23Q24Q25Q26Q27Q28Q29Q30Q31Q32Q33Q34Q35Q36Q37Q38Q39Q40

Related Questions in Relations And Functions

Class 12 Relations And Functions · Mcq Single Correct
Given the relation \(R=\{(1,2),(2,3)\}\) on the set \(A=\{1,2,3\}\), the minimum number of…
Class 12 Relations And Functions · Mcq Single Correct
The function \(f:\mathbb{R}\to\mathbb{R}\) defined by \(f(x)=e^x\) is
Class 12 Relations And Functions · Mcq Single Correct
If \(f:\mathbb{R}\to\mathbb{R}\)…
Class 12 Relations And Functions · Mcq Single Correct
If \(f:\mathbb{R}\to S\), defined by \(f(x)=\sin x-\sqrt{3}\cos x+1\), is onto, then the…
Class 12 Relations And Functions · Mcq Single Correct
Let \(A=\{1,2,3\}\) and \(B=\{a,b,c\}\). Then the number of bijective functions from \(A\) to…
Class 12 Relations And Functions · Mcq Single Correct
Let \(A\) and \(B\) be two finite sets having \(m\) and \(n\) elements respectively. Then the…