If `|z-1|=1,` where is a point on the argand plane, show that`|(z-2)/(z)|= tan (argz),`where `i=sqrt(-1).`

If |z-1|^(2)=|z|^(2)+1 then in the grand plane, z lines an.....

If z is a complex number in the argand plane, the equation |z-2|+|z+2|=8 represents

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

Where does z lie, if |(z-5i)/(z+5i)|=1?

If (z-1)/(z+1)(z ne-1) is purely imaginary then show that |z|=1

Show that the area of the triagle on the argand plane formed by the complex numbers Z, iz and z+iz is (1)/(2)|z|^(2)," where "i=sqrt(-1).

If |z-2-3i|+|z+2-6i|=4 where i=sqrt(-1) then find the locus of P(z)

Consider the two complex numbers z and w, such that w=(z-1)/(z+2)=a+ib, " where " a,b in R " and " i=sqrt(-1). If z=CiStheta , which of the following does hold good?

If |z+1|=z+2(1+i) then find the value of z.

If z^(4)+1=0,"where"i=sqrt(-1) then z can take the value