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The equation $| z - i | + | z + i | = k, k > 0$ can represent an ellipse if k² is

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< 1

< 2

> 4

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answer is C.

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Detailed Solution

$PA + PB = k, A (0, 1), B (0, - 1) \Rightarrow AB = 2 Locus is an ellipse if K > A B \Rightarrow K > 2 \Rightarrow K^{2} > 4$

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