कथन: \(A\times B=B\times A\) हमेशा सत्य है। सही विकल्प चुनिए।
Statement: \(A\times B=B\times A\) is always true. Choose the correct option.
Explanation opens after your attempt
Correct Answer
A. कथन असत्य हैthe statement is false
Concept
Order matters in Cartesian product, so it is generally not commutative. It may be equal in special cases such as (A=B) or because of an empty set.
Why this answer is correct
The correct answer is A. कथन असत्य है / the statement is false. Order matters in Cartesian product, so it is generally not commutative. It may be equal in special cases such as (A=B) or because of an empty set.
Exam Tip
कार्तीय गुणन में क्रम महत्वपूर्ण है, इसलिए यह सामान्यतः क्रमविनिमेय नहीं होता। यह विशेष स्थिति में (A=B) या रिक्त समुच्चय के कारण समान हो सकता है।
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