Let A x R ndash 1 x 1 and S be the subset of A times B defined by S x y A times B x2 y2 1 ...........

Mathematics (NDA) Relations and Functions

Let A = (x $\in$ R : – 1 $\leq$ x $\leq$ 1) and S be the subset of A × B, defined by

S = [(x, y) $\in$ A × B : x² + y² = 1]

Which one of the following is correct?

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

S is not a function

S is not a function (By vertical line Test)

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