If (x,y) belongs to the inverse relation R^-1, which statement follows directly about R?
Answer and explanation
Correct answer: (y,x) belongs to R
The inverse relation is defined by reversing every ordered pair: (x,y)∈R^-1 exactly when (y,x)∈R. Thus option A follows immediately from the definition. Option B would require R itself to contain the same direction and is not guaranteed. Option C concerns a diagonal pair and is unrelated, while option D would require symmetry, which has not been assumed.
Frequently asked questions
What is the correct answer to this question?
(y,x) belongs to R
Why is this the correct answer?
The inverse relation is defined by reversing every ordered pair: (x,y)∈R^-1 exactly when (y,x)∈R. Thus option A follows immediately from the definition. Option B would require R itself to contain the same direction and is not guaranteed. Option C concerns a diagonal pair and is unrelated, while option D would require symmetry, which has not been assumed.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Relations and Functions. Topic: Types of relations.
