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Home » Thus, the ratio is $ oxed\sqrt3 $. - jntua results

Thus, the ratio is $ oxed\sqrt3 $. - jntua results

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Determine where the ellipse intersects the circle \( x^2 + y^2 = 64 \).

📌 Substitute \( y^2 = 64 - x^2 \) into the ellipse equation:

📌 \frac{x^2}{100} + \frac{64 - x^2}{64} = 1

📌 Multiply through by \( 6400 \) (LCM of 100 and 64):

📌 64x^2 + 100(64 - x^2) = 6400

📌 64x^2 + 6400 - 100x^2 = 6400

📌 -36x^2 = 0 \Rightarrow x^2 = 0

📌 Wait — this suggests only \( x = 0 \), but let's recheck:

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