If `u=(2z+i)/(z-ki)` where `z=x+iy` and `k gt 0`
Curve `Re(u)+Im(u)=` cuts y-axis at two point P and Q such that PQ=5 then value of k is

If u+iv=(2+i)/(z+3) and z=x+iy find u, v

If Re((z-1)/(2z+i))=1, where z=x+iy ,then the point (x,y) lies on a

if Im((z+2i)/(z+2))= 0 then z lies on the curve :

if Im((z+2i)/(z+2))= 0 then z lies on the curve :

Consider the curves C_(1):|z-2|=2+Re(z) and C_(2):|z|=3 (where z=x+iy,x,y in R and i=sqrt(-1) .They intersect at P and Q in the first and fourth quadrants respectively.Tangents to C_(1) at P and Q intersect the x- axis at R and tangents to C_(2) at P and Q intersect the x -axis at S .If the area of Delta QRS is lambda sqrt(2) ,then find the value of (lambda)/(2)

If Re ((z+3)/(z-2i))=0 then the locus of z = x +iy is

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

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