Home
Class 11
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

Answer

Step by step text solution for 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 by MATHS experts to help you in doubts & scoring excellent marks in Class 11 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

If z is a complex number such that Re (z) = Im(z), then

Let z be a complex number satisfying |z+16|=4|z+1| . Then

Knowledge Check

  • If z is a complex number such that Re(z)=Im(z) , then

    A
    `Re(z^2)=0`
    B
    `Img(z^2)=0`
    C
    `Re(z^2)=Img(z^2)`
    D
    `Re(z^2)= -Img(z^2)`

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

    A
    `1`
    B
    `2`
    C
    `3`
    D
    `5`

  • Fir any complex number z, the minimum value of |z|+|z-1| is

    A
    `1`
    B
    `0`
    C
    `(1)/(2)`
    D
    `(3)/(2)`

    • Similar Questions

    Explore conceptually related problems

    For any complex number z find the minimum value of |z|+|z-2i|

    Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then find the value of |z|dot

    If z is a complex number such that z+|z|=8+ 12i , then the value of |z^2| is equal to

    If z is a complex number such that z in C//R and z +(1)/(z) in R, then |z| is

    If z is a complex number such that z in CC\\RR , and z + (1)/(z) in RR , then |z| is

    Home
    Profile