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
440 views
in Sets, Relations and Functions by (44.7k points)
closed by

Let R = (x, y) : x, y ϵ Z and x2 + y2 = 25}.

Express R and R–1 as sets of ordered pairs. Show that R = R–1 .

1 Answer

+1 vote
by (42.5k points)
selected by
 
Best answer

x2 + y2 = 25 

Put x = 0, y = 5, 02 + 52 = 25 

Put x = 3, y = 4, 32 + 42 = 25 

R = {(0, 5), (0, -5), (5, 0), (-5, 0), (3, 4), (-3, 4), (-3, -4), (3, -4)} 

Since, x and y get interchanged in the ordered pairs, R and R–1 are same.

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

...