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Question

Mathematics Question on Complex Numbers and Quadratic Equations

For two non-zero complex numbers z1 and z2, if Re(z1z2) = 0 and Re(z1 + z2), then which of the following are possible?
A. Im(z1) > 0 and Im(z2) > 0 |
B. Im(z1) < 0 and Im(z2) > 0
C. Im(z1) > 0 and Im(z2) < 0
D. Im(z1) < 0 and Im(z2) < 0
Choose the correct answer from the options given below

A

B and C

B

B and D

C

A and B

D

A and C

Answer

B and C

Explanation

Solution

The correct answer is B and C