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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
The locus of complex number z=x+z=x+ iy where i=−1i=\sqrt{-1} satisfying relation arg⁡(z−a)=π4\arg (z-a)=\frac{\pi}{4} where a∈Ra \in R is
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Correct option: D
x−y=a,y>0x-y=a, y>0
Option C (x+y=a,y>0x+y=a, y>0) is correct because it represents the locus of the complex number satisfying the given argument condition.

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