The period of the function tan(3x+5) is:

I: The modulus of √3+i/(1+i)(1+√3i) is 1/√2

II: The least positive value of n for which (1-i/1+i)ⁿ=1 is 2

If 1,ω,ω² are the cube roots of unity, then (a+bω+cω²)/ (c+aω+bω²) is equal to:

If (cos 3α+i sin 3α)(cos 5β+i sin 5β)= cos θ+i sin θ then θ is

If x+iy= cis α cis β then the value of x²+y² is

(x+y+z)(x+yω+zω²)(x+yω²+zω)=

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)=