Home
Class 12
MATHS
The number of values of z (real or compl...

The number of values of z (real or complex) e simultaneously satisfying the system of equations ` 1+z+z^2+z^3+...z^17=0 and 1+z+z^2+z^3+..+z^13=0` is

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 5|3 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|5 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|12 Videos

  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0.

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0.

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0.

IF agt=1 , find all complex numbers z satisfying the equation z+a|z+1|+i=0

If z_(1) ,z_(2) be two complex numbers satisfying the equation |(z_(1)+z_(2))/(z_(1)-z_(2))|=1 , then

If z is a complex number satisfying the equaiton z^(6) - 6z^(3) + 25 = 0 , then the value of |z| is

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

If z is a complex number satisfying ∣z 2 +1∣=4∣z∣, then the minimum value of ∣z∣ is

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 satisfying |z^(2)+1|=4|z| , then the minimum value of |z| is

Home
Profile