Let R be the set of real numbers.
Statement-1 : `A""=""{(x ,""y) in R""xx""R"":""y-x`
is an integer} is an equivalence relation on R.
Statement-2 : `B""=""{(x ,""y) in R""xx""R"":""x""=alphay`
for some rational number a} is an equivalence relation on R.
Statement-1 is true, Statement-2 is true; Statement-2 is a correct
explanation for Statement-1.
Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for
Statement-1.
Statement-1 is true, Statement-2 is false.
Statement-1 is false, Statement-2 is true.
A. Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement-1
B. Statement-1 is true, Statement-2 is false
C. Statement-1 is false, Statement-2 is true
D. Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1