" (c) "f:C rarr R,f(z)=|z|quad |" NCERT "

Examine whether the following functions are one-one and onto : f : C rarrR,f(z)=|z| for all z in C , where C is the set of complex numbers.

f : C to R : f (z) =|z| is

Let C be the set of complex numbers . Prove that the mapping f : C rarr R given by f(z) = |z| , AA z in C , is neither one - one nor onto .

Let CandR denote the set of all complex numbers and all real numbers, respectively. Then, show that f: C rarr R is given by f(z)=|z|, AA z in C , is neither one-one nor onto.

Let C and R denote the set of all complex numbers and all real numbers respectively. Then show that f: C->R given by f(z)=|z| for all z in C is neither one-one nor onto.

Let C and R denote the set of all complex numbers and all real numbers respectively. Then show that f: C->R given by f(z)=|z| for all z in C is neither one-one nor onto.

Let C and R denote the set of all complex numbers and all real numbers respectively. Then show that f: C->R given by f(z)=|z| for all z in C is neither one-one nor onto.

Let f_(1):R rarr R and f_(2):C rarr C are two functions such that f_(1)(x)=x^(3) and f_(2)=x^(3) .Prove that f_(1) and f_(2) are not same.

If f: C to C such that f(z) =z-barz, AA z in C , then f is:

Which of the following functions has inverse function? f:Z rarr Z defined by f(x)=x+2f:Z rarr Z defined by f(x)=2xf:Z rarr Z defined byy f(x)=xf:Z rarr Z defined by f(x)=|x|