If `z=(1+2i)/(1-(1-i)^2),` then `arg(z)` equals a. `0` b. `pi/2` c. `pi` d. non of these

If z=((1+i)/(1-i)), then z^(4) equals a.1b.-1c0d non of these

If z=(-2)/(1+isqrt(3)) , then the value of "arg"(z) is a. pi b. pi/4 c. pi/3 d. (2pi)/3

If z=(-2)/(1+isqrt(3)) , then the value of "arg"(z) is a. pi b. pi/4 c. pi/3 d. (2pi)/3

If a r g(z)<0, then a r g(-z)-"arg"(z) equals pi (b) -pi (d) -pi/2 (d) pi/2

If |z_1|=|z_2| and arg((z_1)/(z_2))=pi , then z_1+z_2 is equal to (a) 0 (b) purely imaginary (c) purely real (d) none of these

If arg((z-1)/(z+1))=(pi)/(2) then the locus of z is

If z_(1)&z_(2) are two non-zero complex numbers such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)|, then arg (z_(1))-arg(z_(2)) is equal to a.-pi b.-(pi)/(2)c*(pi)/(2) d.0

If z_(1) and z_(2) are two nonzero complex numbers such that =|z_(1)+z_(2)|=|z_(1)|+|z_(2)|, then argz_(1)-arg z_(2) is equal to -pi b.-(pi)/(2) c.0d.(pi)/(2) e.pi

Let Z_0 is the root of equation x^2+x+1=0 and Z=3+6i(Z_0)^(81)-3i(Z_0)^(93) Then arg (Z) is equal to (a) (pi)/(4) (b) (pi)/(3) (c) pi (d) (pi)/(6)

Let Z_0 is the root of equation x^2+x+1=0 and Z=3+6i(Z_0)^(81)-3i(Z_0)^(93) Then arg (Z) is equal to (a) (pi)/(4) (b) (pi)/(3) (c) pi (d) (pi)/(6)