In the Argands plane what is the locus of `z(!=1)` such that `a rg{3/2((2z^2-5z+3)/(2z^2-z-2))}=(2pi)/3dot`

In the Argands plane what is the locus of z(!=1) such that a rg{3/2((2z^2-5z+3)/(3z^2-z-2))}=(2pi)/3dot

In the Argands plane what is the locus of z(!=1) such that a rg{3/2((2z^2-5z+3)/(3z^2-z-2))}=(2pi)/3dot

In the Argands plane what is the locus of z(!=1) such that arg{(3)/(2)((2z^(2)-5z+3)/(2z^(2)-z-2))}=(2 pi)/(3)

If z_(1) and z_(2) are two fixed points in the Argand plane, then find the locus of a point z in each of the following |z-z_(1)|-|z-z_(2)|= constant (ne |z_(1)-z_(2)|)

If z_(1) and z_(2) are two fixed points in the Argand plane, then find the locus of a point z in each of the following |z-z_(1)| + |z-z_(2)| = constant ne (|z_(1)-z_(2)|)

If z_(1) and z_(2) are two fixed points in the Argand plane, then find the locus of a point z in each of the following |z-z_(1)| - |z-z_(2)|= |z_(1)-z_(2)|

If z_(1) and z_(2) are two fixed points in the Argand plane, then find the locus of a point z in each of the following |z-z_(1)| + |z-z_(2)| = |z_(1)-z_(2)|

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 prove that z_(1),z_(2),z_(3),z_(4) are concyclic.

If amp (z-3) =pi//2 then the locus of z is