Question

z₁ & z₂ are two distinct points in argand plane. If a |z₁| = b |z₂|, then the point   

                   

is a point on the (a, b ∈ R) 

(A) Line segment [– 2, 2] of the real axis 

(B) Line segment [– 2, 2] of the imaginary axis 

(C) Unit circle |z| = 1

(D) The line with arg z = tan^–1 2

Answer 1

Correct option is (A)

Explanation:

a|Z₁| = b|Z₂|

⇒ T ∈  [–2, 2]