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If RR rarrC is defined by f(x)=e^(2ix)" ...

If `RR rarrC` is defined by `f(x)=e^(2ix)" for x in RR` then, f is (where C denotes the set of all complex numbers)

A

one - one

B

onto

C

one - one and onto

D

neither one - one nor onto

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Knowledge Check

  • If f: R to C is defined by f(x) =e^(2ix) AA x in R , then f is (where C denotes the set of all complex numbers)

    A
    one-one
    B
    onto
    C
    bijection
    D
    neither one one nor onto

  • If f:R rarr R is defined by f(x)=[2x]-2[x] for x in R , then the range of f is (Here [x] denotes the greatest integer not exceding x)

    A
    Z, the set of all integers
    B
    N, the set of all natural numbers
    C
    R the set of all real numbers
    D
    (0,1)

  • If f: R rarr R is defined by f(x)= [x/5] for x in R , where [y] denotes the greatest integer not exceding y, then {f(x):|x| lt 71}=

    A
    `{-14, -13, ............,0,........,13,14}`
    B
    `{-14, -13,.......,0,.......,14,15}`
    C
    `{-15, -14, ........,0,.........,14, 15}`
    D
    `{-15, -14,......,0,......13,14}`

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