यदि \(R\subseteq A\times B\), \(A=\{1,2,3,4,5\}\), \(B=\{m,n\}\) और (R) में ठीक (5) ordered pairs हैं, तो (R) फलन कब होगा?
If \(R\subseteq A\times B\), \(A=\{1,2,3,4,5\}\), \(B=\{m,n\}\), and (R) has exactly (5) ordered pairs, when will (R) be a function?
Explanation opens after your attempt
A. जब (1,2,3,4,5) प्रत्येक प्रथम घटक के रूप में ठीक एक बार आएWhen each of (1,2,3,4,5) appears exactly once as a first component
Concept
With exactly (5) pairs, a function needs one image for every element of (A). Repetition of second components is allowed.
Why this answer is correct
The correct answer is A. जब (1,2,3,4,5) प्रत्येक प्रथम घटक के रूप में ठीक एक बार आए / When each of (1,2,3,4,5) appears exactly once as a first component. With exactly (5) pairs, a function needs one image for every element of (A). Repetition of second components is allowed.
Exam Tip
ठीक (5) युग्मों में फलन बनने के लिए (A) के हर अवयव की एक-एक छवि चाहिए। द्वितीय घटकों का दोहराव स्वीकार्य है।
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