If  |z-1/z+a|=1 where Re(a)≠0 then the locus of z=x+iy is

The region represented by |z+a|+|z-a|<4a is

If a=2i+2j+k, a.b=14, axb=3i-j-8k then b=

(1/1+2ω)-(1/1+ω)+(1/2+ω)=

If ω is a complex cube root of unity then ( 1 - ω + ω²)⁶ + ( 1- ω² + ω)⁶ =

(1+ω)(1+ω²) )(1+ω³)(1+ω⁴)(1+ω⁵) (1+ω⁶)...(1+ω³ⁿ)=

(a+bω+cω²)/(c+aω+bω²)=

If (1 + cos θ + i sin θ)(1 + cos 2θ + i sin 2θ)=x+iy then y=

If sinA + sinB = l, cosA - cosB = m, then the value of cos(A - B) =

If x+iy= 1/1+ cos θ+ i sin θ, then 4x²=