Complex NumbersHard
Question
Let z, ωz and z + ωz represent three vertices of ᐃABC, where ω is cube root unity, then -
Options
A.centroid of ᐃABC is 
(z + ωz)
(z + ωz)B.orthocenter of ᐃABC is (z + ωz)
(z + ωz)C.ABC is an obtuse angled triangle
D.ABC is an acute angled triangle
More Complex Numbers Questions
Which of the following, loci of z on the complex plane represents a pair of straight lines ?...The arg of (1 − i√3)2 is -...If x = a + b + c, y = aα + bβ + c and z = αβ + bα + c, where α and β are imaginary cu...equals -...If z1 & z2 are two complex numbers & if arg but |z1 + z2| ≠ |z1 - z2| then the figure formed by the points represe...