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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-




Question Number 26681 by Tanveer48 last updated on 28/Dec/17
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
f:R×RRsuchthatf(x+iy)=x2+y2.Thenfisa)manyoneandintofunctionb)oneoneandontofunctionc)manyoneandontofunctiond)oneoneandintofunction
Commented by prakash jain last updated on 28/Dec/17
many−one as (2,3) and (3,2) map       to same value  into as no pair of (x,y) will map      to −ve values.
manyoneas(2,3)and(3,2)maptosamevalueintoasnopairof(x,y)willmaptovevalues.

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