Home
Class 11
MATHS
Consider the following relations R= {(x,...

Consider the following relations R= {(x,y)|x, y are real numbers and x= wy for some rational number w}, S= {`((m)/(n), (p)/(q))| m,n,p` and q are integers such that `n, q ne -` and mp= pn }. Then

A

R is an equivalence relation but S is not an equivalence relation

B

Neither R nor S is an equivalence relation

C

S is an equivalence relation but R is not an equivalence relation

D

R and S both are equivalence relation

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

Consider the following relations: R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; S={(m/n , p/q)"m , n , pandqa r ei n t e g e r ss u c ht h a tn ,q"!="0andq m = p n"} . Then (1) neither R nor S is an equivalence relation (2) S is an equivalence relation but R is not an equivalence relation (3) R and S both are equivalence relations (4) R is an equivalence relation but S is not an equivalence relation

The reciprocal of any rational number (p)/(q) , where p and q are integers and q ne 0 , is

If the points (p,q),(m,n) and (p-m,q-n) are collinear,show that pn=qm.

If a is any real number and m;n are positive integers; then (a^(p))/(a^(q))=a^(p-q)

The number of non-negative integers 'n' satisfying n^(2)=p+q and n^(3)=p^(2)+q^(2) where p and q are integers