 ×     #### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-1023-196

+91-120-4616500

CART 0

• 0

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
```
Each of the following defines a relation on N: x y is square of an integer x, y ∈ N Determine whether above relation is reflexive, symmetric and transitive.
Each of the following defines a relation on N:   x y is square of an integer x, y ∈ N  Determine  whether above relation is  reflexive, symmetric and transitive.

```
3 months ago Anand Kumar Pandey
3210 Points
```							Dear StudentGiven, xy is square of an integer x, y∈NR = {(x, y) : xy is a square of an integer x, y∈N}It’s clearly (x, x)∈R,∀x∈NAs x^2is square of an integer for any x∈NThus, R is reflexive.If (x, y)∈R⇒(y, x)∈RSo, R is symmetric.Now, if xy is square of an integer and yz is square of an integer.Then,let xy=m^2and yz= n^2for some m,n∈Zx = m^2/y and z = x^2/yxz = m^2 n^2 / y^2 , which is square of an integer.Thus, R is transitive.Thanks
```
3 months ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Magical Mathematics[Interesting Approach]

View all Questions »  ### 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

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