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In a highly elongated ellipse (high eccentricity), the distance between the foci:
Increases
Decreases
Remains the same
The foci of an ellipse are:
The points where the major and minor axes intersect
The endpoints of the major axis
The points equidistant from the center of the ellipse
The foci of an ellipse lie on:
The major axis
the minor axis
the conjugate axis
The foci of an ellipse are defined as the points:
Where the ellipse intersects the x-axis
That are closest to the center of the ellipse
None
What are the coordinates of the foci of the ellipse defined by the equation: x225+y216=1\frac{x^2}{25}+\frac{y^2}{16}=125x2+16y2=1
(4, 0) and (-4, 0)
(0, 4) and (0, -4)
(3, 0) and (-3, 0)
In an ellipse, the sum of the distances from any point on the ellipse to its foci is:
Equal to the length of the major axis
Equal to the length of the minor axis
Equal to the distance between the foci
The equation of an ellipse with foci at (-4, 0) and (4, 0), eccentricity=1/3
x2144+y2128=1\frac{x^2}{144}+\frac{y^2}{128}=1144x2+128y2=1
x29+y24=1\frac{x^2}{9}+\frac{y^2}{4}=19x2+4y2=1
x22+y29=1\frac{x^2}{2}+\frac{y^2}{9}=12x2+9y2=1
In an ellipse, the distance between the center and each focus is:
The length of the major axis
the length of the minor axis
Always equal
The foci of an ellipse play a significant role in determining its:
Area
Eccentricity
Shape
Is the statement true or false?
The foci of an ellipse are always located inside the ellipse.
True
False
It is done.