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Question: Answered & Verified by Expert
Let $\mathrm{A}=(\mathrm{x} \in \mathrm{R}:-1 \leq \mathrm{x} \leq 1)$ and $\mathrm{S}$ be the subset of $\mathrm{A} \times \mathrm{B}$
defined by $\mathrm{S}=\left[(\mathrm{x}, \mathrm{y}) \in \mathrm{A} \times \mathrm{B}: \mathrm{x}^{2}+\mathrm{y}^{2}=1\right]$
Which one of the following is correct?
MathematicsFunctionsNDANDA 2018 (Phase 2)
Options:
  • A $\mathrm{S}$ is a one-one function from A into $\mathrm{B}$
  • B $\mathrm{S}$ is a many-one function from $\mathrm{A}$ into $\mathrm{B}$
  • C $\mathrm{S}$ is a bijective mapping from A into $\mathrm{B}$
  • D $\mathrm{S}$ is not a function
Solution:
1343 Upvotes Verified Answer
The correct answer is: $\mathrm{S}$ is not a function
$\mathrm{S}$ is not a function (By vertical line test)

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