Home
Class 11
MATHS
Let z(1) and z(2) be two roots of the eq...

Let `z_(1) and z_(2)` be two roots of the equation `z^(2) + az + b= 0`, z being complex. Further, assume that the origin, `z_(1) and z_(2)` form an equilateral triangle, then

A

`a^(2)=b`

B

`a^(2)=2b`

C

`a^(2)=3b`

D

`a^(2)=4b`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If the equation ax^(2) +bx+c=0, 0 lt a lt b lt c , has non real complex roots z_(1) and z_(2) then

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

If z_(1)=2+3i and z_(2)=3+2i , then |z_(1)+z_(2)| is equal to

The system of equation {:(|z+1-i|=2),(Re(z) ge 1):}} , where z is a complex number has

If z_(1) and z_(2) are two complex numbers satisfying the equation |(z_(1) + iz_(2))/(z_(1)-iz_(2))|=1 , then (z_(1))/(z_(2)) is

Let z _(1) = 1 + i sqrt3 and z _(2) = 1 + i, then arg ((z _(1))/( z _(2))) is

z_(1) and z_(2) be two complex numbers with alpha and beta as their principal arguments, such that alpha + beta gt pi , then principal Arg (z_(1) z_(2)) is