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Let  a, b ∈ N. Then, 
  • a)
    There cannot exist any B such that AB = BA
  • b)
    There exists more than one but finite number of B's such that AB = BA
  • c)
    There exists exactly one B such that AB = BA
  • d)
    There exists infinitely many B's such that AB = BA 
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Leta, b∈ N. Then,a)There cannot exist any B such that AB = BAb)Th...
Given:

This is only possible when a = b
So, B should be of the form 
As a ∈ N so there are infinitely many B's.
So, the correct answer is option 4.
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Leta, b∈ N. Then,a)There cannot exist any B such that AB = BAb)There exists more than one but finite number of Bs such that AB = BAc)There exists exactly one B such that AB = BAd)There exists infinitely many Bs such that AB = BACorrect answer is option 'D'. Can you explain this answer?
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Leta, b∈ N. Then,a)There cannot exist any B such that AB = BAb)There exists more than one but finite number of Bs such that AB = BAc)There exists exactly one B such that AB = BAd)There exists infinitely many Bs such that AB = BACorrect answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Leta, b∈ N. Then,a)There cannot exist any B such that AB = BAb)There exists more than one but finite number of Bs such that AB = BAc)There exists exactly one B such that AB = BAd)There exists infinitely many Bs such that AB = BACorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Leta, b∈ N. Then,a)There cannot exist any B such that AB = BAb)There exists more than one but finite number of Bs such that AB = BAc)There exists exactly one B such that AB = BAd)There exists infinitely many Bs such that AB = BACorrect answer is option 'D'. Can you explain this answer?.
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