दो संक्रमणीय संबंधों का संघ हमेशा संक्रमणीय होता है या नहीं? सही विकल्प चुनिए।
Is the union of two transitive relations always transitive? Choose the correct option.
Explanation opens after your attempt
Correct Answer
A. नहीं, हमेशा नहींNo, not always
Concept
For example, \(R=\{(1,2)\}\) and \(S=\{(2,3)\}\) are transitive, but their union lacks ((1,3)). Hence the union is not always transitive.
Why this answer is correct
The correct answer is A. नहीं, हमेशा नहीं / No, not always. For example, \(R=\{(1,2)\}\) and \(S=\{(2,3)\}\) are transitive, but their union lacks ((1,3)). Hence the union is not always transitive.
Exam Tip
उदाहरण में \(R=\{(1,2)\}\) और \(S=\{(2,3)\}\) दोनों संक्रमणीय हैं, पर संघ में ((1,3)) नहीं है। इसलिए संघ हमेशा संक्रमणीय नहीं होता।
Login to save your score, XP, coins and progress.