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Q.33 answer for equivalence class for (3,4) answer as soon as possible.

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10 months ago

2074 Points
```							basically equivalent class of an element ‘a’ belonging to a set A on which an equivalence relation R is defined, is the set of all elements x belonging to A such that a and x are related(a,b)R(c,d) iff ad(b+c)= bc(a+d)given (a,b)= (3,4)we have 3d(4+c)= 4c(3+d)or 12d + 3cd= 12c + 4cdor 12d= cd+12cor d(12 – c)= 12cor d= 12c/(12 – c)since c and d are both natural nos, 12 – c must be greater than 0 or c must be less than 12so c belongs to {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}when c=1, 2, 5, 7, then clearly d is not natural.hence, equivalence classes of (3,4) are:(3, 4); (4, 6); (6, 12); (8, 24); (9, 36); (10, 60) and (11, 132).KINDLY APPROVE :))
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10 months ago
Vikas TU
14149 Points
```							Dear student Please refer the study material https://www.askiitians.com/iit-jee-algebra/set-relations-functions/set-theory/equal-sets/Good Luck
```
10 months ago
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• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions