यदि \(A=\{1,2,3\}\), \(B=\{2,4,6\}\) और \(f=\{(1,2),(2,4),(3,6)\}\) हो, तो \(f^{-1}\) जैसा उल्टा संबंध ({(2,1),(4,2),(6,3)}) क्या (B) से (A) में फलन है?
If \(A=\{1,2,3\}\), \(B=\{2,4,6\}\), and \(f=\{(1,2),(2,4),(3,6)\}\), is the reversed relation like (f^{-1}={(2,1),(4,2),(6,3)}) a function from (B) to (A)?
Explanation opens after your attempt
A. हां क्योंकि (B) के हर तत्व की ठीक एक छवि हैYes because every element of (B) has exactly one image
Concept
In the reversed relation, each of (2,4,6) has exactly one image. In exams, the inverse relation is a function only when no second component repeats with different preimages.
Why this answer is correct
The correct answer is A. हां क्योंकि (B) के हर तत्व की ठीक एक छवि है / Yes because every element of (B) has exactly one image. In the reversed relation, each of (2,4,6) has exactly one image. In exams, the inverse relation is a function only when no second component repeats with different preimages.
Exam Tip
उल्टे संबंध में (2,4,6) प्रत्येक की ठीक एक छवि है। परीक्षा में उल्टा संबंध तभी फलन होगा जब कोई दूसरा घटक दोहराकर अलग पूर्वछवि न दे।
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