Complex NumbersHard
Question
If z is a non-real complex number, then the minimum value of
is :
Options
A.- 1
B.- 4
C.- 2
D.- 5
Solution
Let z = reiθ



= 5 cosec4θ - 20cosec2θ + 16
minimum value of
is - 4
= 5 cosec4θ - 20cosec2θ + 16
minimum value of
Create a free account to view solution
View Solution FreeMore Complex Numbers Questions
The region of Argand diagram defined by |z − 1| + |z + 1| ≤ 4 is -...If z1 and z2 are two non-zero complex numbers such that |z1 + z2| = |z1| + |z2|, then arg (z1) - arg (z2) is equal to...Among P, Q, R and S, the aromatic compound(s) is / are :...If α = cos θ + i sin θ, then equals -...If amp (z) = θ, then amp (1/z) is equal to-...