Question
f:R×R→R such that f(x + iy) = √x2+y2. Then, f is
Answer: Option A
:
A
Since, f (x + iy) = f (x - iy) ∴ f is many – one
Also, Range =R+ and codomain = R.
∴ Range ⊏ codomain ⇒ f is into.
Hence, f is many – one into.
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:
A
Since, f (x + iy) = f (x - iy) ∴ f is many – one
Also, Range =R+ and codomain = R.
∴ Range ⊏ codomain ⇒ f is into.
Hence, f is many – one into.
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