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Text Solution

z is purely real z is purely imaginaryz is mixed complex number, with imaginary part positive `z=3-1`

Solution :

`z=|{:(3+2i,5-i,7-3i),(i,2i,-3i),(3-2i,5+i,7+3i):}|rArrbarz=|{:(3-2i,5+i,7+3i),(-i,-2i,-3i),(3+2i,5-i,7-3i):}|`<br> Applying `R_1 hArr R_3` <br> `rArr" "barz=|{:(3+2i,5-i,7-3i),(i,2i,-3i),(3-2i,5+i,7+3i):}|=z` <br> `rArr" z is purely real."` <br> Option (1) correct.