Complex NumbersHard
Question
If the vertices of an equilateral triangle are situated at z = 0, z = z1, z = z2, then which of the following is/are true -
Options
A.| z1 | = | z2 |
B.| z1 - z2 | = | z1 |
C.| z1 + z2 | = | z1 | + | z2 |
D.| arg z1 - arg z2 | = π/3
More Complex Numbers Questions
If complex numbers 2i, 5 + i and 4 represent points A, B and C respectively, then centroid of ᐃABC is-...The comples numbers sin x + i cos2x and cos x - i sin 2x are conjugate to each other, form...If |z| + 2 = I (z), then z = (x, y) lies on -...If z = x + iy satisfies amp (z - 1) = amp (z + 3) then the value of (x - 1) : y is equal to...The sum of squares of cube roots of unity is-...