For two non-zero complex numbers z 1 and z 2 , if Re(z 1 z 2 ) = 0 and Re (z 1 + z 2 ) = 0, then which of the following are possible? (i) Im (z 1 ) 0 and Im (z 2 ) 0 (ii) Im (z 1 ) 0 (iii) Im (z 1 ) 0 and Im (z 2 )

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For two non-zero complex numbers z 1 and z 2 , if Re(z 1 z 2 ) = 0 and Re (z 1 + z 2 ) = 0, then which of the following are possible? (i) Im (z 1 ) > 0 and Im (z 2 ) > 0 (ii) Im (z 1 ) < 0 and Im (z 2 ) > 0 (iii) Im (z 1 ) > 0 and Im (z 2 ) < 0 (iv) Im (z 1 ) < 0 and Im (z 2 ) < 0 Choose the correct answer from the options given below: [JEE Main 2023, 29 Jan (Shift 1)]

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For two non-zero complex numbers z 1 and z 2 , if Re(z 1 z 2 ) = 0 and Re (z 1 + z 2 ) = 0, then which of the following …

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