If the fourth roots of unity are `z_1, z_2, z_3, z_4 and z_1^2+z_2^2+z_3^2+z_4^2` is equal to :

If the fourth roots of unity are z_1,z_2,z_3,z_4 then z_1^2+z_2^2+z_3^2+z_4^2 is equal to

If the fourth roots of unity are z_(1), z_(2), z_(3), z_(4) then z_(1)^(2)+z_(2)^(2)+z_(3)^(2)+z_(4)^(2)=

Let fourth roots of unity be z_(1),z_(2),z_(3) and z_(4) respectively. Statement - I: z_(1)^(2)+z_(2)^(2)+z_(3)^(2)+z_(4)^(2)=0 Statement - II: z_(1)+z_(2)+z_(3)+z_(4)=0

If z_1 and z_2 unimodular complex number that satisfy z_1^2 + z_2^2 = 4 then (z_1 + bar(z_1))^2 ( z_2 + bar(z_2))^2 is equal to

If z_1 z_2 = 5 & z_1^3 z_2^3 = 20 15 i then |z_1^4 z_2^4| is equal to

Show that the triangle whose vertices are z_1,z_2,z_3 and barz_1, barz_2 and barz_3 and z_1\',z_2\',z_3\' are similar if |(z_1,z_1\',1),(z_2,z_2\', 1),(z_3, z_3\' 1)|=0 or z_1(z_2\'-z_3\')+z_2(z_3\'-z_1\')+(z_1\'-z_2\')=0

If |z_1=1,|z_2|=2,|z_3|=3 and |z_1+z_2+z_3|=1, then |9z_1z_2+4z_3z_1+z_2z_3| is equal to

Let z_1 =3+4i and z_2 = -1+2i . Then abs(z_1+z_2)^2-2(abs(z_1)^2+abs(z_2)^2) is equal to

If 1 , z_1 , z_2 ,......., z_6 are the 7th roots of unity then the value of (2-z_1)(2-z_2)(2-z_3)(2-z_4)(2-z_5)(2-z_6)= (a) 63 b. 127 c. 32 d. 31