Let A=\{x \in {R}:-1 \leq x \leq 1\}, B=\{y \in {R}:-1 \leq y \leq 1\} and S be the subset of {A} \times {B}, defined by S=\{(x, y\) \in A \times B: x^{2}+y^{2}=1\}. Which one of the following is correct? [NDA II 2018]

Correct Answer is : S is not a function

S is a one-one function from A into B

S is a many-one function from A into B

S is a bijective mapping from A into B

UPSC NDA II 2018 Mathematics Solved Paper

Question : 25 of 120

Marks: +1, -0

Let A={x∈R:−1≤x≤1},
B={y∈R:−1≤y≤1}
and S be the subset of A×B, defined by
S={(x,y)∈A×B:x2+y2=1}.
Which one of the following is correct?

[NDA II 2018]

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