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Find the Cartesian equation of the path traced by a point z in the complex plane for which |z - 4| + |z + 4| = 16.
- x²/64 + y²/48 = 1
- x²/16 + y²/9 = 1
- x²/64 + y²/16 = 1
- x²/48 + y²/64 = 1
Correct answer: x²/64 + y²/48 = 1
Solution
This is the locus where the sum of distances to foci (4,0) and (-4,0) equals 16, an ellipse with a = 8, c = 4, b² = 48.
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