Complex NumbersHard
Question
Points z1 & z2 are adjacent vertices of a regular octagon. The vertex z3 adjacent to z2 (z3 ≠ z1) is represented by :
Options
A.z2 +
z2 +
(1 ± i) (z1 + z2)
z2 +
(1 ± i) (z1 + z2)B.z2 + (1 ± i) (z1 - z2)
(1 ± i) (z1 - z2)C.z2 + (1 ± i) (z2 - z1)
(1 ± i) (z2 - z1)D.none of these
Solution
∵ |z1 - z2| = |z2 - z3|
⇒ z3 = z2 +
(z2 - z1)Create a free account to view solution
View Solution FreeMore Complex Numbers Questions
Let z1and z2 be nth roots of unity which subtend a right angled at the origin, then n must be fothe form (Where k is an ...If 1, ω, ω2 are the cube roots of unity, then ᐃ = is equal to...If z = cos θ + i sin θ , then is equal to...If log1/2 > 1, then find locus of z...The minimum value of |2 z − 1| + |3z − 2| is-...