Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
612 views
in Mathematics by (57.5k points)
edited by

Let A = {1,2,3} and let R = {(1,2 ),(2,2),( 3,1), (3,2)}, then the domain and range of R−1 is 

(a) {2, 1}, {1, 2, 3} 

(b) {1, 2}, {1, 2, 3} 

(c) {1, 2, 3} {2, 3} 

(d) {2, 3} {1, 2}

1 Answer

+1 vote
by (63.7k points)
selected by
 
Best answer

Correct option is (a) {2,1},{1,2,3}

Explanation:

∵ A ={1,2,3} and R = {(1,2),(2,2),(3,1),(3,2)}

Then, R being a subset of A × A, it is a relation on A. 

Clearly, 1R2; 2R2; 3R1 and 3R2 . 

∴ Domain (R )= {1,2,3} and range (R) = {2,1} 

Also, (R−1) = {(2,1), (2,2), (1,3), (2,3)}

Domain (R−1)= {2,1} and range (R-1) = { 1,2,3 }

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...