Complex NumbersHard

Question

The value of is

Options

A.-1

B.0

C.- i

D.i

Solution

= - i{e^i2π/7 + e^i4π/7 + e^i6π/7 + e^i8π/7 + e^i10π/7 + e^i12π/7}

, (∵ e^i14π/7 = 7)

Create a free account to view solution

View Solution Free

Topic: Complex Numbers·Practice all Complex Numbers questions

More Complex Numbers Questions

If √3 + i = (a + ib) (c + id), then tan−1+ tan−1 =...If z = x + iy and amp , then locus of z is -...Which of the following complex numbers lies along the angle bisectors of the line -L1 : z = ( 1 + 3λ) + i(1 + 4&#95...If z1 = - 3 + 5 i; z2 = - 5 - 3 i and z is a complex number lying on the line segment joining z1 & z2, then arg(z) can b...The inequality | z - 4 | < | z - 2 | represents the following region -...