Let 'z' be a complex number and 'a' be a real parameter such that `z^2+az+a^2=0`, then

Let 'z' be a comlex number and 'a' be a real parameter such that z^(2)+az+a^(2)=0 , then which is of the following is not true ?

Let 'z' be a comlex number and 'a' be a real parameter such that z^(2)+az+a^(2)=0 , then which is of the following is not true ?

Let 'z' be a comlex number and 'a' be a real parameter such that z^(2)+az+a^(2)=0 , then which is of the following is not true ?

Let z_(1),z_(2),z_(3) be three complex numbers and a,b,c be real numbers not all zero,such that a+b+c=0 and az_(1)+bz_(2)+cz_(3)=0. Show that z_(1),z_(2),z_(3) are collinear.

Let z_1, z_2, z_3 be three complex numbers and a ,b ,c be real numbers not all zero, such that a+b+c=0 and a z_1+b z_2+c z_3=0. Show that z_1, z_2,z_3 are collinear.

Let z_1, z_2, z_3 be three complex numbers and a ,b ,c be real numbers not all zero, such that a+b+c=0 and a z_1+b z_2+c z_3=0. Show that z_1, z_2,z_3 are collinear.

Let z_1, z_2, z_3 be three complex numbers and a ,b ,c be real numbers not all zero, such that a+b+c=0a n da z_1+b z_2+c z_3=0. Show that z_1, z_2,z_3 are collinear.

Let z_1, z_2, z_3 be three complex numbers and a ,b ,c be real numbers not all zero, such that a+b+c=0a n da z_1+b z_2+c z_3=0. Show that z_1, z_2,z_3 are collinear.

Let z=1+ai be a complex number, a > 0 ,such that z^3 is a real number. Then the sum 1+z+z^2+...+ z^11 is equal to: