यदि (R) संक्रमी है, \((1,4)\in R\), और \((4,6)\in R\), तो कौन सा युग्म अवश्य (R) में होगा?

If (R) is transitive, \((1,4)\in R\), and \((4,6)\in R\), which pair must be in (R)?

Explanation opens after your attempt
Correct Answer

C. ((1,6))

Step 1

Concept

By transitivity, ((a,b)) and ((b,c)) imply ((a,c)). Therefore ((1,6)) is compulsory.

Step 2

Why this answer is correct

The correct answer is C. ((1,6)). By transitivity, ((a,b)) and ((b,c)) imply ((a,c)). Therefore ((1,6)) is compulsory.

Step 3

Exam Tip

transitivity के अनुसार ((a,b)) और ((b,c)) से ((a,c)) मिलता है। इसलिए ((1,6)) अनिवार्य है।

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Mathematics Answer, Explanation and Revision Hints

यदि (R) संक्रमी है, \((1,4)\in R\), और \((4,6)\in R\), तो कौन सा युग्म अवश्य (R) में होगा? / If (R) is transitive, \((1,4)\in R\), and \((4,6)\in R\), which pair must be in (R)?

Correct Answer: C. ((1,6)). Explanation: transitivity के अनुसार ((a,b)) और ((b,c)) से ((a,c)) मिलता है। इसलिए ((1,6)) अनिवार्य है। / By transitivity, ((a,b)) and ((b,c)) imply ((a,c)). Therefore ((1,6)) is compulsory.

Which concept should I revise for this Mathematics MCQ?

By transitivity, ((a,b)) and ((b,c)) imply ((a,c)). Therefore ((1,6)) is compulsory.

What exam hint can help solve this Mathematics question?

transitivity के अनुसार ((a,b)) और ((b,c)) से ((a,c)) मिलता है। इसलिए ((1,6)) अनिवार्य है।