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Rectangular hyperbola

Two-dimensional geometry · Mathematics

Study notes

Q: For xy = 16, find vertices, asymptotes, and the point at t = 2. Vertices where y = x: x² = 16, x = ±4: (4,4), (−4,−4). Asymptotes: x = 0, y = 0 (the axes!). Parametric (ct, c/t) with c = 4: t=2 → (8, 2). Check: 8×2 = 16 ✓.

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