For all values of a and b(a + 2b)x + (a- b)y + (a + 5b) = 0 passes through the point:

If the direction ratio of two lines are given by 3lm-4ln+mn =0 and l+2m+3n=0,then the angle between the lines, is

The ascending order of the moduli of the complex numbers z₁=1+i,z₂=1+2i,z₃=1-i/√2,z₄=3+4i is

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