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 #120

A family has exactly two brothers \(B_1,B_2\) and their sister \(S\). On \(A=\{B_1,B_2,S\}\), define \(aRb\) to mean that \(a\) is a brother of \(b\), with no child their own brother. Then \(R\) is

✅ Step-by-Step Solution

Final Answer: Option (C): Neither symmetric nor transitive
  1. For two brothers B1,B2 and their sister S, B1RS but not SRB1, so symmetry fails. B1RB2 and B2RB1 hold, but B1RB1 does not, so transitivity fails.

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
For real numbers \(x,y\), define \(xRy\) if and only if…
Next Question →
The number of distinct equivalence relations on \(A=\{1,2,3\}\) is

More Practice Questions in Relations And Functions

Related Questions in Relations And Functions