एक relation \(R\subseteq A\times B\) कब (A) से (B) में फलन कहलाता है?
When is a relation \(R\subseteq A\times B\) called a function from (A) to (B)?
Explanation opens after your attempt
A. हर \(a\in A\) के लिए ठीक एक \(b\in B\) हो ताकि \((a,b)\in R\)For every \(a\in A\), there is exactly one \(b\in B\) such that \((a,b)\in R\)
Concept
The condition for a function is on domain elements, not codomain elements. In definition questions, the words exactly one are most important.
Why this answer is correct
The correct answer is A. हर \(a\in A\) के लिए ठीक एक \(b\in B\) हो ताकि \((a,b)\in R\) / For every \(a\in A\), there is exactly one \(b\in B\) such that \((a,b)\in R\). The condition for a function is on domain elements, not codomain elements. In definition questions, the words exactly one are most important.
Exam Tip
फलन की शर्त domain elements पर लगती है, codomain elements पर नहीं। definition questions में exactly one शब्द सबसे जरूरी है।
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