Home
Class 12
MATHS
Let z be a complex number such that the ...

Let `z` be a complex number such that the imaginary part of `z` is nonzero and `a = z^2 + z + 1` is real. Then a cannot take the value

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • JEE (ADVANCED ) 2020

    JEE ADVANCED PREVIOUS YEAR|Exercise SECTION 2|6 Videos

  • JEE (ADVANCED ) 2020

    JEE ADVANCED PREVIOUS YEAR|Exercise SECTION 3|6 Videos

  • JEE (ADVANCED) 2020

    JEE ADVANCED PREVIOUS YEAR|Exercise SECTION-3|6 Videos

Similar Questions

Explore conceptually related problems

Let z be a complex number such that the imaginary part of z is non-zero and a = z^(2) + z + 1 is real. Then a can not take the value

The complex number z is purely imaginary,if

Knowledge Check

  • If z is a complex number such that the imaginary part of z is non-zero and a=z^2+z+1 is real. Then, a cannot take the value

    A
    `-1`
    B
    `1/3`
    C
    `1/2`
    D
    `3/4`

  • Let z be a complex number such that |z| = 2, then maximum possible value of |z + (2)/(z)| is

    A
    1
    B
    2
    C
    3
    D
    4

  • If z is a complex number such that (z-1)/(z+1) is purely imaginary, then |z| is equal to

    A
    0
    B
    1
    C
    `sqrt2`
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    Let z be a complex number satisfying 2z+|z|=2+6i .Then the imaginary part of z is

    If a complex number Z is purely imaginary then conjugate of Z is

    If a complex number Z is purely imaginary then conjugate of Z is

    Let z be a complex number such that |z|=2 . Then the maximum value of |z+(1)/(z)| is

    If z is a complex number such that (z-1)/(z+1) is purely imaginary, then |z| is equal to

    Home
    Profile