Let z 1 , z 2 be two complex numbers represented by points on the circle |z| = 1 and |z|…
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
Let z1, z2 be two complex numbers represented by points on the circle |z| = 1 and |z| = 2, respectively, then
- max |2z1+z2| = 4
- min |z1–z2| = 1
- \(\left|\mathrm{z}_{2}+\frac{1}{\mathrm{z}_{1}}\right| \leq 3\)
- None of these
Answer
(A) max |2z 1 +z 2 | = 4, (B) min |z 1 –z 2 | = 1, (C) | z _ 2 + 1 z _ 1 | 3
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