f:R×R→R such that f(x+iy)=(√(x^2 +y^2 .)) Then f is a) many−one and into function b) one−one and onto function c) many−one and onto function d) one−one and into function


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Question Number 26681 by Tanveer48 last updated on 28/Dec/17

$f : R \times R \to R s u c h t h a t f (x + i y) = \sqrt{x^{2} + y^{2} .}$ $T h e n f i s$ $a) m a n y - o n e a n d i n t o f u n c t i o n$ $b) o n e - o n e a n d o n t o f u n c t i o n$ $c) m a n y - o n e a n d o n t o f u n c t i o n$ $d) o n e - o n e a n d i n t o f u n c t i o n$
Commented by prakash jain last updated on 28/Dec/17

$m a n y - o n e a s (2, 3) a n d (3, 2) m a p$ $t o s a m e v a l u e$ $i n t o a s n o p a i r o f (x, y) w i l l m a p$ $t o - v e v a l u e s .$
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