Question
The equation∣ z-2i ∣ + ∣ z + 2i ∣ = 6
represents:Solution
This matches the general form: Sum of distances from two fixed points is constant This is the standard definition of an ellipse . In an ellipse:
- The sum of distances from any point on the ellipse to the two foci is constant.
- The two fixed points are at (0,2) and (0,−2),
- And the constant sum is 6.
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