Home
Class 12
MATHS
Ifz(1),z(2),z(3) andz(4)are the roots of...

If`z_(1),z_(2),z_(3) andz_(4)`are the roots of the equation `z^(4)=1,` the value of`sum_(i=1)^(4)zi^(3)`is

A

0

B

1

C

`i,i=sqrt(-1)`

D

`1+i,i=sqrt(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|30 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise For Session 3|15 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

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

Similar Questions

Explore conceptually related problems

If z_(1),z_(2),z_(3),z_(4) are the roots of equation z^(4)+z^(3)+z^(2)+z+1=0, then prod_(i=1)^(4)(z_(i)+2)

If z_(1),z_(2),z_(3),z_(4) are the roots of the equation z^(4)+z^(3)+z^(2)+z+1=0, then the least value of [|z_(1)+z_(2)|]+1 is (where [.] is GIF.)

let z_1,z_2,z_3 and z_4 be the roots of the equation z^4 + z^3 +2=0 , then the value of prod_(r=1)^(4) (2z_r+1) is equal to :

If z_(1),z_(2),z_(3) are any three roots of the equation z^(6)=(z+1)^(6), then arg((z_(1)-z_(3))/(z_(2)-z_(3))) can be equal to

If z_(1),z_(2),z_(3),z_(4) are roots of the equation a_(0)z^(4)+a_(1)z^(3)+a_(2)z^(2)+a_(3)z+a_(4)=0, where a_(0),a_(1),a_(2),a_(3) and a_(4) are real,then

If z_(r):r=1,2,3,,50 are the roots of the equation sum_(r=0)^(50)z^(r)=0, then find the value of sum_(r=0)^(50)(1)/(z_(r)-1)

If z_1,z_2,z_3,z_4 are imaginary 5th roots of unity, then the value of sum_(r=1)^(16)(z1r+z2r+z3r+z4r),i s 0 (b) -1 (c) 20 (d) 19

If z_(i) (where i=1, 2,………………..6 ) be the roots of the equation z^(6)+z^(4)-2=0 , then Sigma_(i=1)^(6)|z_(i)|^(4) is equal to