The relation R is defined on the set of all real numbers by{R}=\{({a},{b})\in{\mathbb{R}}\times{\mathbb{R}}{/}{a}-{b} is an integer}. Then R is

Correct Answer is : an equivalence relation.

reflexive, symmetric but not transitive.

symmetric, transitive but not reflexive

reflexive, transitive but not symmetric.

AP ICET 2016 Paper

Question : 132 of 200

Marks: +1, -0

The relation R is defined on the set of all real numbers by

{R}=\{({a},{b})∈{ℝ}×{ℝ}{/}{a}-{b}

is an integer}. Then R is

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