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A : If argument of z1=pi//3 , argument o...

A : If argument of `z_1=pi//3` , argument of `z_2=pi//4` then argument of `z_1z_2" is " 7pi//12`
R : Arg `(z_1z_2)=Arg z_1+Argz_2`

A

A is true , R is true and R correct explanation of A

B

A is true , R is true and R is not correct explanation of A

C

A is truer , R is false

D

A is false, R is true

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Knowledge Check

  • If pi//3 and pi//4 are the arguments of z_1 and barz_2 then the value of arg (z_1.z_2)

    A
    `5pi//12`
    B
    `pi//12`
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    `7pi//12`
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    B
    `-pi//6`
    C
    `5pi//6`
    D
    `pi//6`
  • If amp (z-3) =pi//2 then the locus of z is

    A
    x = 0
    B
    x = 2n
    C
    x = 3 such that `ygt0`
    D
    x = 4
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    I : If z = barz " then " z is purely imaginary II: If |z_1+z_2|=|z_1|+|z_2|" then " agz_1-argz_2" is " pi//2 II: If z_1 and z_2 are two complex numbers such that |z_1z_2|=1 and argz_1 -argz_2=pi//2" then " bar(z)_1,bar(z)_2-i