\((A={1,2,3,4}) पर (R={(a,b):a+b\) is even}) में equivalence classes कौन सी हैं?
\(On (A={1,2,3,4}), for (R={(a,b):a+b\) is even}), what are the equivalence classes?
Explanation opens after your attempt
Correct Answer
A. ({1,3},{2,4})
Concept
An even sum means both numbers have the same parity. Thus the classes are odd ({1,3}) and even ({2,4}).
Why this answer is correct
The correct answer is A. ({1,3},{2,4}). An even sum means both numbers have the same parity. Thus the classes are odd ({1,3}) and even ({2,4}).
Exam Tip
योग सम होने का मतलब दोनों संख्याएं समान parity की हैं। इसलिए classes विषम ({1,3}) और सम ({2,4}) हैं।
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