If `2z+frac{8}{3}=frac{1}{4}z+5`, then z=?

If z(x+y)= x^2 +y^2 show that (frac{delz}{delx}-frac{del z}{del y})^2 = 4 (1- frac{delz}{delx}+frac{delz}{dely})

If 2z_1-3z_2 + z_3=0 , then z_1, z_2 and z_3 are represented by

(i) If u=x^2y++y^2z+z^2x , show that frac{lambdau}{lambdax}+frac{lambdau}{lambday}+frac{lambdau}{lambdaz}=(x+y+z)^2

If |z_1|=2, |z_2|=3, |z_3|=4 and |2z_1+3z_2 + 4z_3|=9 , then value of |8z_2z_3 + 27z_3z_1 + 64z_1z_2|^(1//3) is :

If z= -3 + sqrt2i , then prove that z^(4) + 5z^(3) + 8z^(2) + 7z + 4 is equal to -29

If 8iz^3+12z^2-18z+27i=0, then (a). |z|=3/2 (b). |z|=2/3 (c). |z|=1 (d). |z|=3/4

If z_(1) = 2+ 3i and z_(2) = 5-3i " then " z_(1)z_(2) is

If z=e^((2pi i)/5) , then 1+z+z^(2)+z^(3)+5z^(4)+4z^(5)+4z^(6)+4z^(7)+4z^(8)+5z^(9)=

Let z_(1),z_(2),z_(3),z_(4) are distinct complex numbers satisfying |z|=1 and 4z_(3) = 3(z_(1) + z_(2)) , then |z_(1) - z_(2)| is equal to

If z_1 , lies in |z-3|<=4,z_2 on |z-1|+|z+1|=3 and A = |z_1-z_2| , then :