The complex numbers `z_1` and `z_2` and the origin form an isosceles trangle with vertical angle `[2pi]/3`, then a. `z_1^2+z_2^2=z_1z_2` b. `z_1^2+z_2^2+z_1z_2=0` c. `z_1^2+z_2^2=3z_1z_2` d. none of these

Prove that the complex numbers z_1 and z_2 and the origin form an isosceles triangle with vertical angle 2pi//3" if " z_1^2+z_2^2+z_1z_2=0

Prove that the complex numbers z_1,z_2 and the origin from an isoceles triangle with vertical angle (2pi)/3 if z_1^2+z_1z_2+z_2^2=0

The complex numbers z_(1) and z_(2) and the origin form an isosceles trangle with vertical angle (2 pi)/(3), then a.z_(1)^(2)+z_(2)^(2)=z_(1)z_(2)bz_(1)^(2)+z_(2)^(2)+z_(1)z_(2)=0c*z_(1)^(2)+z_(2)^(2)=3z_(1)z_(2)d none of these

If the complex numbers z_(1) and z_(2) and the origin form an isosceles triangle with vertical angle (2pi)/(3) ,then show that z_(1)^(2)+z_(2)^(2)+z_(1)z_(2)=0.

Prove that the complex numbers z_(1) and z_(2) and the origin form an isosceles triangle with vertical angle (2pi)/(3),ifz_(1)^(2)+z_(2)^(2)+z_(1)z_(2)=0.

Prove that the complex numbers z_(1) and z_(2) and the origin form an isosceles triangle with vertical angle (2pi)/(3),ifz_(1)^(2)+z_(2)^(2)+z_(1)z_(2)=0.

Prove that the complex numbers z_(1) and z_(2) and the origin form an isosceles triangle with vertical angle (2pi)/(3),ifz_(1)^(2)+z_(2)^(2)+z_(1)z_(2)=0.

The complex numbers z_1, z_2 and the origin form an equilateral triangle only if (A) z_1^2+z_2^2-z_1z_2=0 (B) z_1+z_2=z_1z_2 (C) z_1^2-z_2^2=z_1z_2 (D) none of these

The complex numbers z_1, z_2 and the origin form an equilateral triangle only if (A) z_1^2+z_2^2-z_1z_2=0 (B) z_1+z_2=z_1z_2 (C) z_1^2-z_2^2=z_1z_2 (D) none of these