If `|z+3|<=3` then minimum and maximum value of `|z+1|` are respectively

If |z-3i|=|z+3i| , then find the locus of z.

If z = 3-4i , then z^4-3z^3+3z^2+99z-95 is

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_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 :

The value of (z+3) (barz+3) is equal to (i) |z +3|^(2) (ii) |z-3| (iii) z^(2)+3 (iv) none of these

If |z|=2and(z_(1)-z_(3))/(z_(2)-z_(3))=(z-2)/(z+2), then prove that z_(1),z_(2),z_(3) are vertices of a right angled triangle.

If |z|=2a n d(z_1-z_3)/(z_2-z_3)=(z-2)/(z+2) , then prove that z_1, z_2, z_3 are vertices of a right angled triangle.

If |z|=2a n d(z_1-z_3)/(z_2-z_3)=(z-2)/(z+2) , then prove that z_1, z_2, z_3 are vertices of a right angled triangle.

If |z|=2a n d(z_1-z_3)/(z_2-z_3)=(z-2)/(z+2) , then prove that z_1, z_2, z_3 are vertices of a right angled triangle.

If z_(1) = 3, z_(2) = -7i, and z_(3) = 5 + 4i, show that (z_(1) + z_(2)) z_(3) = z_(1) z_(3) + z_(2) z_(3)