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Question

f:R×RR such that f(x + iy) = x2+y2. Then, f is

A
many – one and into
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B
one-one and onto
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C
many – one and onto
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D
one – one and into
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Solution

The correct option is A many – one and into
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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