The points representing the complex numbers \( z \) for which \( |z+4|^{2}-|z-4|^{2}=8 \) lie on...

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The points representing the complex numbers \( z \) for which \( |z+4|^{2}-|z-4|^{2}=8 \) lie on
(A) a straight line parallel to \( x \)-axis
(B) a straight line parallel to \( y \)-axis
(C) a circle with centre as origin
(D) a circle with centre other than the origin
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