Let z 1 and z 2 be complex numbers such that Z _ 1 Z _ 2 and | z 1 | = | z 2 |. If z 1…
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
Let z1 and z2 be complex numbers such that \(\mathrm{Z}_{1} \neq \mathrm{Z}_{2}\) and | z1 | = | z2 |. If z1 has positive real part and z2 has negative imaginary part, then \(\frac{z_{1}+z_{2}}{z_{1}-z_{2}}\) may be
- zero
- real and positive
- real and negative
- purely imaginary
Answer
(A) zero, (D) purely imaginary
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