यदि (R) किसी समुच्चय (A) पर तुल्य संबंध है, तो इसके तुल्यता वर्गों के बारे में सही कथन कौन सा है?
If (R) is an equivalence relation on a set (A), which statement about its equivalence classes is correct?
Explanation opens after your attempt
Correct Answer
A. वे (A) का विभाजन बनाते हैंThey form a partition of (A)
Concept
Equivalence classes are non-empty, disjoint, and cover all of (A). This is exactly the definition of a partition.
Why this answer is correct
The correct answer is A. वे (A) का विभाजन बनाते हैं / They form a partition of (A). Equivalence classes are non-empty, disjoint, and cover all of (A). This is exactly the definition of a partition.
Exam Tip
तुल्यता वर्ग अरिक्त, परस्पर असंयुक्त और पूरे (A) को ढकते हैं। यही विभाजन की परिभाषा है।
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