A relation p on the set of real number R...

A relation p on the set of real number R is defined as follows: `x p y` if and only if xy `gt` 0`. Then which of the following is/are true?

A

`rho` is reflexive and symmetric

B

`rho` is symmetric but not reflexive

C

`rho` is symmetric and transitive

D

`rho` is an equivalence relation

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The correct Answer is:

B, C

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