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Let z,w be complex numbers such that bar...

Let `z,w` be complex numbers such that `barz+ibarw=0` and `arg zw=pi` Then `argz` equals

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Knowledge Check

  • Let z,w be complex numbers such that overline z + ioverlinew=0 and arg(zw)= pi . Then, arg(z) is equal to

    A
    `pi/4`
    B
    `pi/2`
    C
    `(3pi)/4`
    D
    `(5pi)/4`

  • Let z and omega be be complex numbers such that bar(z) + i omega = 0 and arg z omega = pi then arg z =

    A
    `pi//4`
    B
    `pi//2`
    C
    `3 pi//4`
    D
    ` 5 pi//4`

  • Let Z and w be two complex number such that |zw|=1 and arg(z)-arg(w)=pi/2 then

    A
    `zoverline(w)=-i`
    B
    `zoverline(w)=i`
    C
    `zoverline(w)=(1-i)/(sqrt(2))`
    D
    `zoverline(w)=(1+i)/(sqrt(2))`

    • Similar Questions

    Explore conceptually related problems

    Let z and omega be two non zero complex numbers such that |z|=|omega| and argz+argomega=pi, then z equals (A) omega (B) -omega (C) baromega (D) -baromega

    Let zandw be two nonzero complex numbers such that |z|=|w| andarg (z)+arg(w)=pi Then prove that z=-bar(w) .

    If z is a complex number such that |z|=4 and arg(z)=(5 pi)/(6) then z is equal to

    If z and w are complex numbers satisfying barz+ibarw=0 and amp(zw)=pi , then amp(w) is equal to (where, amp(w) in (-pi,pi] )

    If z is a complex number such that |z| =4 and arg (z) = ( 5pi)/( 6) , then what is z equal to ?

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