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A relation R in a set A is called transitive, if

  • a)
    (a1, a2) ∈ R implies that (a1, a3) ∈ R, for all a1, a2, (a1, a3)

  • b)
    ∈ R and (a2, a3) ∈ R implies that (a1, a2) ∈ R, for all a1, a2,

  • c)
    (a1, a2) ∈ R and (a2, a3) ∈ R implies that (a1, a3) ∈ R for all a1, a2,a3 in A

  • d)
    (a1, a1) ∈ R and (a2, a2) ∈ R implies that (a1, a3) ∈ R, for all a1, a2,

Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A relation R in a set A is called transitive, ifa)(a1,a2) ∈ Rimpl...
A relation R on a non empty set A is said to be transitive if fx Ry and yRz ⇒ x Rz, for all x ∈ R.
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A relation R in a set A is called transitive, ifa)(a1,a2) ∈ Rimpl...
The relation R in set A is transitive if for any elements a1, a2, and a3 in A, whenever (a1, a2) ∈ R and (a2, a3) ∈ R, then (a1, a3) ∈ R.
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A relation R in a set A is called transitive, ifa)(a1,a2) ∈ Rimpliesthat(a1,a3) ∈ R,foralla1,a2, (a1,a3)b)∈ Rand(a2,a3) ∈ Rimpliesthat(a1,a2) ∈ R,foralla1,a2,c)(a1,a2) ∈ Rand(a2,a3) ∈ Rimpliesthat(a1,a3) ∈ R foralla1,a2,a3 in Ad)(a1,a1) ∈ Rand(a2,a2) ∈ Rimpliesthat(a1,a3) ∈ R,foralla1,a2,Correct answer is option 'C'. Can you explain this answer?
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A relation R in a set A is called transitive, ifa)(a1,a2) ∈ Rimpliesthat(a1,a3) ∈ R,foralla1,a2, (a1,a3)b)∈ Rand(a2,a3) ∈ Rimpliesthat(a1,a2) ∈ R,foralla1,a2,c)(a1,a2) ∈ Rand(a2,a3) ∈ Rimpliesthat(a1,a3) ∈ R foralla1,a2,a3 in Ad)(a1,a1) ∈ Rand(a2,a2) ∈ Rimpliesthat(a1,a3) ∈ R,foralla1,a2,Correct answer is option 'C'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A relation R in a set A is called transitive, ifa)(a1,a2) ∈ Rimpliesthat(a1,a3) ∈ R,foralla1,a2, (a1,a3)b)∈ Rand(a2,a3) ∈ Rimpliesthat(a1,a2) ∈ R,foralla1,a2,c)(a1,a2) ∈ Rand(a2,a3) ∈ Rimpliesthat(a1,a3) ∈ R foralla1,a2,a3 in Ad)(a1,a1) ∈ Rand(a2,a2) ∈ Rimpliesthat(a1,a3) ∈ R,foralla1,a2,Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A relation R in a set A is called transitive, ifa)(a1,a2) ∈ Rimpliesthat(a1,a3) ∈ R,foralla1,a2, (a1,a3)b)∈ Rand(a2,a3) ∈ Rimpliesthat(a1,a2) ∈ R,foralla1,a2,c)(a1,a2) ∈ Rand(a2,a3) ∈ Rimpliesthat(a1,a3) ∈ R foralla1,a2,a3 in Ad)(a1,a1) ∈ Rand(a2,a2) ∈ Rimpliesthat(a1,a3) ∈ R,foralla1,a2,Correct answer is option 'C'. Can you explain this answer?.
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