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Eccentricity of an ellipse given by a general second-degree equation (complete the squares)

This type of question, asked 2 times: 19 Apr 2025 S2, 19 Apr 2026 S2. All 2 questions below, oldest first.

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  1. Question 1

    19 Apr 2025 S2

    146
    The eccentricity of the ellipse 9x2+5y2−30y=09x^{2}+ 5y^{2}- 30y= 0 is

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  2. Question 2

    19 Apr 2026 S2

    58
    The eccentricity of the ellipse represented by the equation 7x2+16y2−14x+64y−377=07x^2 + 16y^2 - 14x + 64y - 377 = 0 is...

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