ABC is an isosceles triangle and B= 90⁰. If B and the midpoint P of AC are represented by 3+2i and 1-i then the other vertices are

In the Argand plane, the points represented by the complex numbers 2-i,-4+3i and -3-2i form

(a+2b)²+(aω+2bω²)²+(aω²+2bω)²=

The multiplicative inverse of (4+3i) is

The complex numbers sin x+ i cos 2x- i sin 2x are conjugate to each other for

The modules of (3+2i)(2-i)/ (1+i) is

If the roots of (z - 1)ⁿ = i(z + 1)ⁿ are plotted in the argand diagram they are:

If three complex numbers are in A.P. then they lie on

If ω is a complex cube root of unity, then sin[(ω¹⁰+ω²³)π-π/4]=

If α and β are complex cube roots of unity, then α⁴+β⁴+α^-1β^-1=