Home
Class 11
MATHS
In the Argand plane, the distinct roots ...

In the Argand plane, the distinct roots of `1+z+z^3+z^4 = 0` (z is a complex number) represents vertices of

A

a square

B

an equilateral triangle

C

a rhombus

D

a rectangle

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If z is a complex number, then (bar(z^-1))(bar(z)) =

Select and write the correct answer from the given alternatives in each of the following: If z is a complex number satisfying the relation |z + 1| = z + 2(1 +i), then z is

Select and write the correct answer from the given alternatives in each of the following: If z be a complex number satisfying z^4 + z^3 + 2z^2 + z + 1 = 0 , then |z| is equal to

Find the maximum value of abs(z) when abs(z-frac{3}{z}) = 2 , z being a complex number

If z is a complex number, then which of the followinf is not true?

Let z=x+iy and a point P represent zin the argand plane. If the real part of frac{z-1}{z+i} is 1, then a point that lies on the locus of P is

Select and write the correct answer from the given alternatives in each of the following: If z is any complex number, then (z - bar z) / (2i) is

If z=x+iy, then show that z bar z + 2(z + bar z ) + b =0 represents a circle.

If z is a complex number in the argand plane then the equation abs(z-2)+abs(z+2) = 8 represents

If z = x + i y and P represents z in the Argands plane. Find the locus of P when: (z - i) / (z - 1) is purely imaginary.