For any two complex numbers z 1 and z 2 and any two real numbers a and b, |a z_ 1 -b z_ 2…

Mathematics · JEE Main · NTA Exams — Complex Numbers and Quadratic Equations

1. \(\left(a^{2}+b^{2}\right)\left(\left|z_{1}\right|+\left|z_{2}\right|\right)\)
2. \(\left(a^{2}+b^{2}\right)\left(\left|z_{1}\right|^{2}+\left|z_{2}\right|^{2}\right)\)
3. \(\left(a^{2}+b^{2}\right)\left(\left|z_{1}\right|^{2}-\left|z_{2}\right|^{2}\right)\)
4. none of the above

Answer

(B) (a^ 2 +b^ 2 ) ( |z_ 1 |^ 2 + |z_ 2 |^ 2 )

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