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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If Im⁡(z+2iz+2)=0\operatorname{Im}\left(\frac{z+2 i}{z+2}\right)=0, then zz lies on the curve
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Correct option: C
x+y+2=0x+y+2=0
Option C (x+y+2=0x+y+2=0) is correct because the imaginary part of the given expression being zero implies that z lies on the line x+y+2=0.

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