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Home » What Tag 2 Got Wrong? The Surprising Twist That Will Blow Your Mind! - Upplift

What Tag 2 Got Wrong? The Surprising Twist That Will Blow Your Mind! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 At \( x = 8 \), ellipse: \( y^2 = 64(1 - 64/100) = 64(0.36) = 23.04 \), so \( y \approx 4.8 \).

📌 Circle: at \( x=8 \), \( y=0 \), so not intersecting.

📌 Try solving:

📌 From earlier:

📌 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 \( \frac{x^2}{100} + \frac{y^2}{64} = 1 \) has semi-major axis 10 (x), semi-minor 8 (y).

📌 Circle radius 8 — so it touches the ellipse only at \( (0, \pm8) \).

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