Q: In the standard equation for an ellipse b is half the length of the what axis?

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An ellipse is the set of each and every point in a place such that the sum of the distance from the foci is constant, Major Axis of the ellipse is the part from side to side the center of ellipse to the larger axis, or the length of that sector. The major diameter is the largest diameter of an ellipse. Below equation is the standard ellipse equation: X2/a + Y2/b = 1, (a > b > 0)

This ellipse is centered at the origin and has a horizontal axis of length 26 and a vertical axis of length 12 What is its equation?

6*4

X^2/2^2 + y^2/4^2 = 1

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Horizontal

horizontal

An ellipse is the set of each and every point in a place such that the sum of the distance from the foci is constant, Major Axis of the ellipse is the part from side to side the center of ellipse to the larger axis, or the length of that sector. The major diameter is the largest diameter of an ellipse. Below equation is the standard ellipse equation: X2/a + Y2/b = 1, (a > b > 0)

This ellipse is centered at the origin and has a horizontal axis of length 26 and a vertical axis of length 12 What is its equation?

A

6*4

X^2/2^2 + y^2/4^2 = 1

23

By taking a coordinate system with origin at the center of the ellipse, and x-axis along the major axis, and y-axis along the minor axis, then the ellipse intercepts the x-axis at -5 and 5, and the y-axis at -2 and 2. So that the equation of the ellipse x2/a2 + y2/b2 = 1 becomes x2/52 + y2/22 = 1 or x2/25 + y2/4 = 1.

x2/82 + y2/242 = 1

x2/82+y2/42=1

x2/52 + y2/93 = 1