If (a₁+ib₁)(a₂+ib₂)……(a_n+ib_n)=A+iB,then (a₁²+b₁²) (a₂²+b₂²)……. (a_n²+b_n²) =

The amplitude of 1+cos θ+ i sin θ is

If 3/(2+ cos θ+ i sin θ)= x+iy then (x-1)(x-3)=

Express 4+3i/(2+3i)(4-3i) in the form of x+iy

If a and b are numbers between 0 and 1 such that the points z₁= a+i, z₂= 1+bi and z₃= 0 from an equilateral triangle then a,b are

i²+i^-4+i^-6+…(2n+1) terms

(1-ω+ω²)(1-ω²+ω⁴) (1-ω⁴+ω⁸) (1-ω⁸+ω¹⁶)=

If z= (λ+3)+i√(5-λ²), then the locus of z is a circle with centre at

If x= -5+4i then x⁴+9x³+35x²-x+4=

The modulus of (3-4i)(4+5i) is