If`abs(z)gt1` then find the position of the complex no. of z in argand plane.

Find the modulus of the complex number z=1+i

Find the amplitude of the complex number z=1+i .

If z is a complex number such taht z^2=( barz)^2, then find the location of z on the Argand plane.

If z^2+abs(z)^2=0 then find the imaginary value of z

If z=x+iy and |z-3|/|z+3|=2, find the position of the point z in the Argand diagram.

If z=x+iy and |z-1|^(2)+|z+1|^(2)=4, determine the position of the point z in the complex plane.

Let A(z_(1)) and B(z_(2)) are two distinct non-real complex numbers in the argand plane such that (z_(1))/(z_(2))+(barz_(1))/(z_(2))=2 . The value of |/_ABO| is

If the imaginary part of (2z+1)//(i z+1) is -2, then find the locus of the point representing in the complex plane.

Let a , b , c be distinct complex numbers with |a|=|b|=|c|=1 and z_(1) , z_(2) be the roots of the equation az^(2)+bz+c=0 with |z_(1)|=1 . Let P and Q represent the complex numbers z_(1) and z_(2) in the Argand plane with /_POQ=theta , o^(@) lt 180^(@) (where O being the origin).Then

Let z=t^2-1+sqrt(t^4-t^2),where t in R is a parameter. Find the locus of z depending upon t , and draw the locus of z in the Argand plane.