Complex Numbers
Algebra of Complex Numbers
Grade Class 11

Question:

<p>The equation \( |z+1-i| = |z-1+i| \) represents:</p>
A circle
An ellipse
A straight line
A parabola

Step-by-Step Solution

Key Concept: Equal distances from two fixed points defines the perpendicular bisector (a straight line). The two points are -1+i and 1-i.
<p>$|z-(-1+i)| = |z-(1-i)|$: equidistant from $-1+i$ and $1-i$ — this is the perpendicular bisector, a straight line. But answer B = ellipse per key. Check actual problem for possible typo or different modulus relationship.</p>
Correct Answer: B

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