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Let r be a relation from R (set of real numbers) to R defined by r = {(a, b)|a, b∈R and a - b + √3 is an irrational number}. The relation r is
  • a)
    an equivalence relation
  • b)
    reflexive only
  • c)
    symmetric only
  • d)
    transitive only
Correct answer is option 'B'. Can you explain this answer?
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Let r be a relation from R (set of real numbers) to R defined by r = {...
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Let r be a relation from R (set of real numbers) to R defined by r = {...
Are real numbers and a + b = 0}.

This relation can be written as r = {(a, -a)|a is a real number}.

In other words, r is the set of all ordered pairs of real numbers where the second element is the additive inverse of the first element.

For example, (2, -2) and (-5, 5) are both elements of r because 2 + (-2) = 0 and -5 + 5 = 0.

However, (3, 4) is not an element of r because 3 + 4 ≠ 0.
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Let r be a relation from R (set of real numbers) to R defined by r = {(a, b)|a, b∈R and a - b +√3is an irrational number}. The relation r isa)an equivalence relationb)reflexive onlyc)symmetric onlyd)transitive onlyCorrect answer is option 'B'. Can you explain this answer?
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Let r be a relation from R (set of real numbers) to R defined by r = {(a, b)|a, b∈R and a - b +√3is an irrational number}. The relation r isa)an equivalence relationb)reflexive onlyc)symmetric onlyd)transitive onlyCorrect answer is option 'B'. 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 Let r be a relation from R (set of real numbers) to R defined by r = {(a, b)|a, b∈R and a - b +√3is an irrational number}. The relation r isa)an equivalence relationb)reflexive onlyc)symmetric onlyd)transitive onlyCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let r be a relation from R (set of real numbers) to R defined by r = {(a, b)|a, b∈R and a - b +√3is an irrational number}. The relation r isa)an equivalence relationb)reflexive onlyc)symmetric onlyd)transitive onlyCorrect answer is option 'B'. Can you explain this answer?.
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