In the set of integers Z, exmine whether the following relations are equivalence relations or not : `R={(a,b) : a,b in Z and a^2=b^2}`

In the set of integers Z, exmine whether the following relations are equivalence relations or not : R={(a,b) : a,b in Z and a

In the set of integers Z, exmine whether the following relations are equivalence relations or not : R={(a,b) : a,b in Z and a>b}

In the set of integers Z, exmine whether the following relations are equivalence relations or not : R={(a,b) : a,b in Z and ageb}

In the set of integers Z, examine whether the following relations are equivalence relations or not : R={(a,b) : a,b in Z and aleb}

In the set of integers Z, exmine whether the following relations are equivalence relations or not : R={(a,b) : a,b in Z} and a-b is divisible by 2.

Examine whether the following functions are one-one or not : f : Z rarr Z, f(x) = x^2+5

Which.of the following relations are functions?f= {(a, x), (b, y), (c, z)}

State whether the following relations are reflexive, symmetric and transitive: R={(a,b) : a,b in Z and a+b is even } in the set of integers, Z.

Find whether the operation * is a binary operation or not on the given set : a**b=a^b on N

Find whether the operation * is a binary operation or not on the given set : a**b=|a-b| on Z.