Q. Let `z_1` and `z_2` be nth roots of unity which subtend a right angle at the origin, then n must be the form `4k`.

Let z_(1) and z_(2) be nth roots of unity which subtend a right angle at the origin.Then n must be of the form (1) 4k+1 (2) 4k+2 (3) 4k+3(4)4k

Let z_1 and z_2 be the roots of the equation 3z^2 + 3z + b=0 . If the origin, together with the points represented by z_1 and z_2 form an equilateral triangle then find the value of b.

Let z_1 and z_2 be theroots of the equation z^2+az+b=0 z being complex. Further, assume that the origin z_1 and z_2 form an equilateral triangle then (A) a^2=4b (B) a^2=b (C) a^2=2b (D) a^2=3b

If z_(1) and z_(2) are two n^(th) roots of unity, then arg (z_(1)/z_(2)) is a multiple of

The locus of the mid point of a chord of the circle x^(2)+y^(2)=4 which subtends a right angle at the origin is

Let z_1 and z_2 be the roots of z^2+pz+q =0. Then the points represented by z_1,z_2 the origin form an equilateral triangle if p^2 =3q.