Consider the complex numbers `z,z^2,z^3,z^4`.If these taken in order to form a cyclic quadrilateral,then [take `theta`=arg z, `theta in [0,2pi)`

If the complex numbers z_1, z_2, z_3, z_4 taken in that order, represent the vertices of a rhombus, then

Consider the complex number z=(1-isin theta)/(1+icos theta) If argument of z is (pi)/(4) , then

If z ne 0 be a complex number and "arg"(z)=pi//4 , then

If z ne 0 be a complex number and "arg"(z)=pi//4 , then

Consider the complex number z = (1 - isin theta)//(1+ icos theta) . If agrument of z is pi//4 , then

If z_(1),z_(2),z_(3),z_(4) are the four complex numbers represented by the vertices of a quadrilateral taken in order such that z_(1)-z_(4)=z_(2)-z_(3) and amp backslash(z_(4)-z_(1))/(z_(2)-z_(1))=(pi)/(2) then the quadrilateral is a

Modulus of a complex number Z is 2 and arg(z)=pi/3 ,write the complex number in the form a+ib .

If z is a complex number with absz=2 and arg(z)=(4pi)/3 . then Find overline z

The locus of the complex number z such that arg ((z-2)/(z+2))=pi/3 is :

z_1, z_2, z_3,z_4 are distinct complex numbers representing the vertices of a quadrilateral A B C D taken in order. If z_1-z_4=z_2-z_3 and "arg"[(z_4-z_1)//(z_2-z_1)]=pi//2 , the quadrilateral is