For any two real numbers a and b, we define a R b if and only if sin2 a + cos2b = 1. The relation R is
(A) Reflexive but not Symmetric (B) Symmetric but not transitive
(C) Transitive but not Reflexive (D) an Equivalence relation

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Saurabh Koranglekar · Answer

Vikas TU · Answer

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For any two real numbers a and b, we define a R b if and only if sin2 a + cos2b = 1. The relation R is (A) Reflexive but not Symmetric (B) Symmetric but not transitive (C) Transitive but not Reflexive (D) an Equivalence relation

For any two real numbers a and b, we define a R b if and only if sin2 a + cos2b = 1. The relation R is
(A) Reflexive but not Symmetric (B) Symmetric but not transitive
(C) Transitive but not Reflexive (D) an Equivalence relation

2 Answers

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For any two real numbers a and b, we define a R b if and only if sin2 a + cos2b = 1. The relation R is (A) Reflexive but not Symmetric (B) Symmetric but not transitive (C) Transitive but not Reflexive (D) an Equivalence relation

For any two real numbers a and b, we define a R b if and only if sin2 a + cos2b = 1. The relation R is (A) Reflexive but not Symmetric (B) Symmetric but not transitive (C) Transitive but not Reflexive (D) an Equivalence relation

2 Answers

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For any two real numbers a and b, we define a R b if and only if sin2 a + cos2b = 1. The relation R is
(A) Reflexive but not Symmetric (B) Symmetric but not transitive
(C) Transitive but not Reflexive (D) an Equivalence relation