Failed to connect to MySQL: Access denied for user 'examnext_online'@'localhost' (using password: YES) 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,q are integer such that nq`!=`0 and {qm = pm}Statement 1 S is the equivalence relation, but R is not an equivalence relationStatement 2 R and S both are symmetric - Sarthaks eConnect
menu
search
Ask Question

Welcome to Sarthaks eConnect Question Bank

Practice Online Test Series for JEE Main 2018 & NEET 2018

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,q are integer such that nq`!=`0 and {qm = pm}

Statement 1 : S is the equivalence relation, but R is not an equivalence relation
Statement 2 : R and S both are symmetric

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,q are integer such that nq`!=`0 and {qm = pm}

Statement 1 : S is the equivalence relation, but R is not an equivalence relation
Statement 2 : R and S both are symmetric

A.

Statement 1 is true, statement 2 is true, statement 2 is a correct explanation for statement 1.

B.

Statement 1 is true, statement 2 is true, statement 2 is not a correct explanation for statement 1.

C.

Statement 1 is true, statement 2 is false
D.

Statement 1 is false, statement 2 is false

Solution

0 votes
 
Best answer

For (x, y) `in` R `=>` x = wy But (y, x) `in R =>R=>y = xw =>x = y` Therefore, R is not symmetric.

Powered by Sarthaks eConnect
Powered by Sarthaks eConnect