Find the center and radius of the circle `2zbarz+(3-i)z+(3+i)z-7=0," where " i=sqrt(-1). `

The equation z^(2)-i|z-1|^(2)=0, where i=sqrt(-1), has.

Find the values of x and y if : ((1+i)x-2i)/(3+i)+((2-3i)y +i)/(3-i) =i , where i=sqrt(-1)

Given that |z-1|=1, where z is a point on the argand planne , show that (z-2)/(z)=itan (arg z), where i=sqrt(-1).

Let Papoint denoting a comples number z on the complex plane. i.e." "z=Re(z)+i Im(z)," where "i=sqrt(-1) if" "Re(z)=xand Im (z)=y,then z=x+iy If Pmovew such that |Re(z)|+|Im(z)=a(ainR^(+)) The locus of P is

For every real number c ge 0, find all complex numbers z which satisfy the equation abs(z)^(2)-2iz+2c(1+i)=0 , where i=sqrt(-1) and passing through (-1,4).

Find the gratest and the least values of |z_(1)+z_(2)|, if z_(1)=24+7iand |z_(2)|=6," where "i=sqrt(-1)

the matrix A=[(i,1-2i),(-1-2i,0)], where I = sqrt-1, is

Find the argument s of z_(1)=5+5i,z_(2)=-4+4i,z_(3)=-3-3i and z_(4)=2-2i, where i=sqrt(-1).

If |z-iRe(z)|=|z-Im(z)|, then prove that z lies on the bisectors of the quadrants, " where "i=sqrt(-1).

Find the multiplicative inverse of z= 2-3i