Complex NumbersHard
Question
The centre of a regular hexagon is i. One vertex is (2 + i), z is an adjacent vertex. Then z is equal to -
Options
A.1 + i (1 ± √3 )
B.i + 2 ± √3
C.2 + i (1 ± √3 )
D.None of these
More Complex Numbers Questions
Let $S = \left\{ z \in \mathbb{C}:\left| \frac{z - 6i}{z - 2i} \right| = 1 \right.\ $ and $\left. \ \left| \frac{z - 8 +...If ω is cube root of unity, then the value of is-...If is purely imaginary, then θ is equal to-...If the complex numbers z1, z2, z3 represents vertices of an equilateral triangle such that | z1| = | z2 | = | z3 |, then...A man walks a distance of 3 units from the origin towards the north-east (N45o E) direction. From there, he walks a dist...