If the arguments of `(1-i)(sqrt3+i)(1+sqrt3i)` and `(Z-2)(barZ-1)` are equal, then the locus to Z is part of a circle with centre (a, b). The value of `(1)/(a+b)` is

Principal argument of z=-1-i sqrt(3)

The principal argument of 2z^(2)+1-sqrt(3)i=0

For a complex number Z, if the argument of (Z-a)(barZ-b) is (pi)/(4) or (-3pi)/(4) (where a, b are two real numbers), then the value of ab such that the locus of Z represents a circle with centre (3)/(2)+(i)/(2) is (where, i^(2)=-1 )

For a complex number Z, if the argument of (Z-a)(barZ-b) is (pi)/(4) or (-3pi)/(4) (where a, b are two real numbers), then the value of ab such that the locus of Z represents a circle with centre (3)/(2)+(i)/(2) is (where, i^(2)=-1 )

If the argument of (z-a)(barz-b) is equal to that ((sqrt(3)+i)(1+sqrt(3)i)/(1+i)) where a,b,c are two real number and z is the complex conjugate o the complex number z find the locus of z in the rgand diagram. Find the value of a and b so that locus becomes a circle having its centre at 1/2(3+i)

If the argument of (z-a)(barz-b) is equal to that ((sqrt(3)+i)(1+sqrt(3)i))/(1+i) where a,b, are two real number and z is the complex conjugate of the complex number z find the locus of z in the Argand diagram. Find the value of a and b so that locus becomes a circle having its centre at 1/2(3+i)

If the argument of (z-a)(barz-b) is equal to that ((sqrt(3)+i)(1+sqrt(3)i)/(1+i)) where a,b,c are two real number and z is the complex conjugate o the complex number z find the locus of z in the rgand diagram. Find the value of a and b so that locus becomes a circle having its centre at 1/2(3+i)

If the argument of (z-a)(barz-b) is equal to that ((sqrt(3)+i)(1+sqrt(3)i)/(1+i)) where a,b,c are two real number and z is the complex conjugate o the complex number z find the locus of z in the rgand diagram. Find the value of a and b so that locus becomes a circle having its centre at 1/2(3+i)

If z=sqrt3+i , then the argument of z^2 e^(z-i) is equal to