If `z^4=(z-1)^4`, then the roots are represented in the Argand plane by the points that are:

If z_1, z_2, z_3, z_4 are the affixes of four point in the Argand plane, z is the affix of a point such that |z-z_1|=|z-z_2|=|z-z_3|=|z-z_4| , then z_1, z_2, z_3, z_4 are

Let z,z_(0) be two complex numbers. It is given that abs(z)=1 and the numbers z,z_(0),zbar_(0),1 and 0 are represented in an Argand diagram by the points P, P_(0) ,Q,A and the origin, respectively. Show that /_\POP_(0) and /_\AOQ are congruent. Hence, or otherwise, prove that abs(z-z_(0))=abs(zbar(z_(0))-1)=abs(zbar(z_(0))-1) .

If zne1and(z^(2))/(z-1) is real , then the point represented by the complex number z lies -

If |z-1-i|=1 , then the locus of a point represented by the complex number 5(z-i)-6 is

If (log)_(sqrt(3))((|z|^2-|z|+1)/(2+|z|))>2, then locate the region in the Argand plane which represents zdot

Let A(z_1),B(z_2) and C(z_3) be the three points in Argands plane The point A B and C are collinear if

If z ne 1 and (z^2)/(z-1) is real then the point represented by the complex number z lies

The area of the triangle in the complex plane formed by the points z, iz and z+iz is

Let z_(1),z_(2) be two fixed complex numbers in the Argand plane and z be an arbitrary point satisfying |z-z_(1)|+|z-z_(2)|=2|z_(1)-z_(2)| . Then the locus of z will be

Let z_1,z_2 be two fixed complex numbers in the Argand plane and z be an arbitary point satisfying abs(z-z_1)+abs(z-z_2)=2abs(z_1-z_2) then the locus of z will be