If `z=((1+isqrt3)^2)/(4i(1-isqrt3))` is a complex number then a. `arg(z)=pi/4` b. `arg(z)=pi/2` c. `|z|=1/2` d. `|z|=2`

If z=((1+i sqrt(3))^(2))/(4i(1-i sqrt(3))) is a complex number then a.arg(z)=(pi)/(4) b.arg(z)=(pi)/(2)c|z|=(1)/(2)d.|z|=2

Find the complex number z if arg (z+1)=(pi)/(6) and arg(z-1)=(2 pi)/(3)

Let Z and w be two complex number such that |zw|=1 and arg(z)-arg(w)=pi/2 then

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

The complex number z satisfying |z+1|=|z-1| and arg (z-1)/(z+1)=pi/4 , is

If z and w are two complex number such that |zw|=1 and arg(z)arg(w)=(pi)/(2), then show that bar(z)w=-i

If z_(1),z_(2),z_(3),z_(4) are two pairs of conjugate complex numbers, then arg(z_(1)/z_(3)) + arg(z_(2)/z_(4)) is

if arg(z+a)=(pi)/(6) and arg(z-a)=(2 pi)/(3) then

Statement-1 : let z_(1) and z_(2) be two complex numbers such that arg (z_(1)) = pi/3 and arg(z_(2)) = pi/6 " then arg " (z_(1) z_(2)) = pi/2 and Statement -2 : arg(z_(1)z_(2)) = arg(z_(1)) + arg(z_(2)) + 2kpi, k in { 0,1,-1}

If z=(cos pi)/(4)+i(sin pi)/(6), then |z|=1,arg(z)=(pi)/(4) b.|z|=1,arg(z)=(pi)/(6) c.|z|=(sqrt(3))/(2),arg(z)=(25 pi)/(24)d|z|=(sqrt(3))/(2),arg(z)=(tan^(-1)1)/(sqrt(2))