Consider the following statements: 1. If f is the subset of Z \times Z defined by f=\{(x y, x-y) ; x, y \in Z\}, then f is a function from Z to Z. 2. If f is the subset of N \times N defined by f=\{(x y, x+y) ; x, y \in N\}, then f is a function from N to N. Which of the statements given above is/are correct? [NDA II 2022]

Correct Answer is : Neither 1 nor 2

UPSC NDA 2 2022 Mathematics Solved Paper

Question : 4 of 120

Marks: +1, -0

Consider the following statements:
1. If f is the subset of Z×Z defined by f={(xy,x−y);x,y∈Z}, then f is a function from Z to Z.
2. If f is the subset of N×N defined by f={(xy,x+y);x,y∈N}, then f is a function from N to N.
Which of the statements given above is/are correct?

[NDA II 2022]

1 only
2 only
Both 1 and 2
Neither 1 nor 2

Validate

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