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girl elf on the shelf - Abbey Badges

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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x^2\left( \frac{1}{100} - \frac{1}{64} \right) = 0 \Rightarrow x^2 = 0
Only solution is \( x = 0 \), \( y = \pm8 \).
But geometrically: ellipse \( \frac{x^2}{100} + \frac{y^2}{64} = 1 \)...
Circle radius 8 — so it touches the ellipse only at \( (0, \pm8) \).
But does it intersect elsewhere? Try \( y=0 \): ellipse \( x = \pm10 \...
At \( y=0 \), circle has \( x = \pm8 \), ellipse: \( x^2 = 100 \Righta...
So the circle lies inside the ellipse and touches at \( (0,\pm8) \) —...
But the question asks for how many points from the orbit are **reached...
Since the circle is tangent at two points, there are **2 intersection...
However, "reached" may mean visited — but in geometry, "intersected" i...

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