Variable complex numbe z satisfies the eqution `|z-1+2i|+|z+3-i|=10`. Prove that locus of complex number z is ellipse. Also, find the centre, foci acid ecentricty of the ellipse.

Variable complex number z satisfies the equation |z-1+2i|+|z+3-i|=10 . Prove that locus of complex number z is ellipse. Also, find the centre, foci and eccentricity of the ellipse.

The complex number z which satisfies the condition |(i+z)/(i-z)| = 1 lies on

All complex numbers 'z' which satisfy the relation |z-|z+1||=|z+|z-1|| on the complex plane lie on the

The complex number z satisfies z+|z|=2+8i . find the value of |z|-8

Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then find the value of |z|dot

Find the non-zero complex numbers z satisfying z =i z^2dot

Find the complex number z satisfying R e(z^2) =0,|z|=sqrt(3.)

A complex number z satisfies the equation |Z^(2)-9|+|Z^(2)|=41 , then the true statements among the following are

Let z be a complex number satisfying |z+16|=4|z+1| . Then

For any complex number z find the minimum value of |z|+|z-2i|