JEE Main 2021 Mathematics question

Mathematics Sets and Relation JEE Main 2021

Which of the following is not correct for relation R on the set of real numbers ?

(A)(x, y)R 0 < |x| – |y| 1 is neither transitive nor symmetric.
(B)(x, y)R 0 < |x–y| 1 is symmetric and transitive.Correct
(C)(x, y)R |x| – |y| 1 is reflexive but not symmetric.
(D)(x, y)R |x–y| 1 is reflexive and symmetric.

Answer: (B)

Solution

Question ID VK-023238