Let P be the relation defined on the set...

Let P be the relation defined on the set of all real number such that `P = [(a, b) : sec^2 a-tan^2 b = 1]` . Then P is:

A

Reflexive and symmetric but not transitive

B

Reflexive and transitive but not symmetric

C

Symmetric and transitive but not reflexive

D

An equivalence relation

Verified by Experts

The correct Answer is:

D

Similar Questions

Explore conceptually related problems

Let P be the relation defined on the set of all real numbers such that P={(a,b):sec^(2)a-tan^(2)b=1}. Then P is

The relation R, in the set of real number defined as R = {(a,b): a lt b} is:

Let R be the relation on the set R of all real numbers defined by a Rb Iff |a-b|<=1 Then R is

Let R be the relation defined on power set of A such that ARB hArr n(P(A)) = n(P(B)) can be : (where P(A) denotes power set of (A)