If , and be three points in argand plane, where and ,…
MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations
Problem
If A(z1) , B(z2) and C(z3) be three points in argand plane, where ∣z1+z2∣=∣z1∣+∣z2∣ and ∣(1−i)z1+iz3∣=∣z1∣+∣z3−z1∣ , then
(A) A, B, C lies on a fixed circle.
(B) A, B, C forms a right angle ∠ .
(C) A, B, C forms an equilateral △ .
(D) A, B, C forms an obtuse angle ∠ .