एक संबंध \(R\subseteq A\times B\) में \(A=\{1,2,3\}\) और \(B=\{p,q\}\) है। यदि (R) में ठीक (3) ordered pairs हैं तो (R) फलन कब होगा?

A relation \(R\subseteq A\times B\) has \(A=\{1,2,3\}\) and \(B=\{p,q\}\). If (R) has exactly (3) ordered pairs, when will (R) be a function?

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Correct Answer

A. जब हर प्रथम घटक (1,2,3) ठीक एक बार आएWhen each first component (1,2,3) appears exactly once

Step 1

Concept

With exactly (3) pairs, a function needs one image for each of the three elements of (A). Repetition of second components is allowed.

Step 2

Why this answer is correct

The correct answer is A. जब हर प्रथम घटक (1,2,3) ठीक एक बार आए / When each first component (1,2,3) appears exactly once. With exactly (3) pairs, a function needs one image for each of the three elements of (A). Repetition of second components is allowed.

Step 3

Exam Tip

ठीक (3) युग्मों में फलन बनने के लिए (A) के तीनों अवयवों की एक-एक छवि होनी चाहिए। द्वितीय घटकों का दोहराव मान्य है।

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Mathematics Answer, Explanation and Revision Hints

एक संबंध \(R\subseteq A\times B\) में \(A=\{1,2,3\}\) और \(B=\{p,q\}\) है। यदि (R) में ठीक (3) ordered pairs हैं तो (R) फलन कब होगा? / A relation \(R\subseteq A\times B\) has \(A=\{1,2,3\}\) and \(B=\{p,q\}\). If (R) has exactly (3) ordered pairs, when will (R) be a function?

Correct Answer: A. जब हर प्रथम घटक (1,2,3) ठीक एक बार आए / When each first component (1,2,3) appears exactly once. Explanation: ठीक (3) युग्मों में फलन बनने के लिए (A) के तीनों अवयवों की एक-एक छवि होनी चाहिए। द्वितीय घटकों का दोहराव मान्य है। / With exactly (3) pairs, a function needs one image for each of the three elements of (A). Repetition of second components is allowed.

Which concept should I revise for this Mathematics MCQ?

With exactly (3) pairs, a function needs one image for each of the three elements of (A). Repetition of second components is allowed.

What exam hint can help solve this Mathematics question?

ठीक (3) युग्मों में फलन बनने के लिए (A) के तीनों अवयवों की एक-एक छवि होनी चाहिए। द्वितीय घटकों का दोहराव मान्य है।