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Let R be a relation over the set  and it is defined by (a, b) R (c, d) ⇔ a + d = b + c then R is

  • a)
    Reflexive only

  • b)
    Symmetric only

  • c)
    Transitive only

  • d)
    An equivalence relation

Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Let R be a relation over the setand it is defined by (a, b) R(c, d)&hA...
(a, b) R (c, d) ⇒ a + d = b + c
(a, a) R (a, a) ⇒ 2a = 2a
It is reflexive.
(a, b) R (c, d) ⇒ (c, d) R (a, b)
a + d = b + c
b + c = a + d
It is symmetric.
Transitive:
(a, b) R (c, d) ⇒ (c, d) R (e, f) ⇒ (a, b) R (e, f)
a + d = b + c, c + f = d + c
a – e = b – f
a + f = b + c
(a, b) R (e, f)
It is transitive.
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Community Answer
Let R be a relation over the setand it is defined by (a, b) R(c, d)&hA...
(a, b) R (c, d) ⇒ a + d = b + c
(a, a) R (a, a) ⇒ 2a = 2a
It is reflexive.
(a, b) R (c, d) ⇒ (c, d) R (a, b)
a + d = b + c
b + c = a + d
It is symmetric.
Transitive:
(a, b) R (c, d) ⇒ (c, d) R (e, f) ⇒ (a, b) R (e, f)
a + d = b + c, c + f = d + c
a – e = b – f
a + f = b + c
(a, b) R (e, f)
It is transitive.
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Let R be a relation over the setand it is defined by (a, b) R(c, d)⇔a + d = b + c then R isa)Reflexive onlyb)Symmetric onlyc)Transitive onlyd)An equivalence relationCorrect answer is option 'D'. Can you explain this answer?
Question Description
Let R be a relation over the setand it is defined by (a, b) R(c, d)⇔a + d = b + c then R isa)Reflexive onlyb)Symmetric onlyc)Transitive onlyd)An equivalence relationCorrect answer is option 'D'. Can you explain this answer? for Mathematics 2024 is part of Mathematics preparation. The Question and answers have been prepared according to the Mathematics exam syllabus. Information about Let R be a relation over the setand it is defined by (a, b) R(c, d)⇔a + d = b + c then R isa)Reflexive onlyb)Symmetric onlyc)Transitive onlyd)An equivalence relationCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Mathematics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let R be a relation over the setand it is defined by (a, b) R(c, d)⇔a + d = b + c then R isa)Reflexive onlyb)Symmetric onlyc)Transitive onlyd)An equivalence relationCorrect answer is option 'D'. Can you explain this answer?.
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