For two non-zero complex numbers z_1 and z_2, if Re(z_1z_2) = 0 and Re(z_1+z_2), then which of the following...

Question

For two non-zero complex numbers z_1 and z_2, if Re(z_1z_2) = 0 and Re(z_1+z_2), then which of the following are possible ? A. Im(z_1)>0 and Im(z_2)>0 B. Im(z_1)<0 and Im(z_2)>0 C. Im(z_1)>0 and Im(z_2)<0 D. Im(z_1)<0 and Im(z_2)<0 Choose the correct answer from the options given below

Accepted Answer

(A)

JEE Main 2023 Mathematics question

Solution