If z 1 , z 2 , z 3 are complex numbers such that |z 1 | = |z 2 | = |z 3 | = | 1 z_ 1 + 1…
Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations
If z1, z2, z3 are complex numbers such that
|z1| = |z2| = |z3| = \(\left|\frac{1}{z_{1}}+\frac{1}{z_{2}}+\frac{1}{z_{3}}\right|=1,\)then |z1 + z2 + z3| is
|z1| = |z2| = |z3| = \(\left|\frac{1}{z_{1}}+\frac{1}{z_{2}}+\frac{1}{z_{3}}\right|=1,\)then |z1 + z2 + z3| is
- equal to 1
- less than 1
- greater than 3
- equal to 3
Answer
(A) equal to 1
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