The equations of ellipses whose major axis lengths are twice their minor axis lengths are
To answer the question, we need to know what an ellipse is.
An ellipse is part of a conic section.
The equation of an ellipse centered at (h,k) with major axis on the x-axis and major axis length, 2a and minor axis length 2b is
(x - h)²/a² + (y - k)²/b = 1
The equations of ellipses whose major axis lengths are twice their minor axis lengths with ellipse centered at (h,k) with major axis on the x-axis. Since the major axis is twice the length of the minor axis, a = 2b.
So, (x - h)²/a² + (y - k)²/b² = 1
(x - h)²/(2b)² + (y - k)²/b² = 1
(x - h)²/4b² + (y - k)²/b² = 1
The equations of ellipses whose major axis lengths are twice their minor axis lengths with ellipse centered at (h,k) with major axis on the y-axis. Since the major axis is twice the length of the minor axis, a = 2b.
So, (x - h)²/b² + (y - k)²/a² = 1
(x - h)²/b² + (y - k)²/(2b)² = 1
(x - h)²/b² + (y - k)²/4b² = 1
So, the equations of ellipses whose major axis lengths are twice their minor axis lengths are
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