MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 11
        
Can somebody give a neat stepwise solution for the above attached image for ncert exams
4 months ago

Answers : (1)

Abhinav kaushik
35 Points
							
A relation which is reflexive, symmetric and transitive is called an equivalence relation
 
Thus for reflexive i.e (a, a) element R for all a element R
now let 
a÷5 leaves a remainder say r
So again by definition of relation a÷5 will leave remainder r
So (a, a) element R for every a element N 
Thus it is a reflexive relation 
 
For symmetric i.e (a, b) element R implies
that (b, a) is also an element of R
Now let
a÷5 leave a remainder r
Then by defination of relation if (a, b) element R then
b÷5 must leave a remainder r
Thus if b and a leaves same remainder on division by 5 then for every (a, b) element R there is (b, a) element R 
Thus it is a symmetric relation 
 
Now for transitive i.e for all (a, b) element R and (b, c) element R there is (a, c) element R 
Now let 
a÷5 leaves a remainder r
So by definition b÷5 must leave a remainder r
And thus if (b, c) is an element of R then
c÷5 must also leave a reminder r 
So it is evident that for every (a, b) element R and (b, c) element R there is every (a, c) element R 
Thus it is a transitive relation
AND SINCE THE RELATION IS reflexive, symmetric and transitive it is an EQUIVALENCE RELATION 
Hence proved. 
Hoping it would help
All the best!! 
 
2 months ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 731 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 51 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details