Class 12

04. Functions question bank (Maths)

Practice 641 free Class 12 Maths - 04. Functions questions with answers and step-by-step solutions.

Q1.

Let \( X \) be a non-empty set and \( P(X) \) be the set of all subsets of \( X \).  
For \( A, B \in P(X) \), \( ARB \) if and only if \( A \cap B = \phi \).  
Then the relation is  

(A)
\( R \) is not reflexive
(B)
\( R \) is symmetric
(C)
\( R \) is not transitive
(D)
\( R \) is an equivalence relation
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers, instant hints, and detailed explanations.
Sign in to view
Q2.

If \( R \) is an equivalence relation on a set \( A \),  
then \( R^{-1} \) is  

(A)
Reflexive
(B)
Symmetric
(C)
Equivalence
(D)
Reflexive and symmetric only
Show answer & solution
Verified Answer & Solution Locked
Sign in to your free student account to reveal verified answers, instant hints, and detailed explanations.
Sign in to view
Protected Questions

Unlock All 93 Questions in 04. Functions

Log in or sign up free to access every question with complete solutions, create chapter practice tests, and track your performance.

Sign up free to access all 93 questions

Unlock every 04. Functions question, generate papers, and practice at your own pace.