Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
= 1
Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
= 1
= 1
The given equation is
Here, denominator of x2 < denominator of y2.
The foci of the ellipse are on the y-axis. Comparing the given equation with the standard equation
= 1
we have b = 5 and a = 10.
Also c =
=
=
= 5![]()
And c =
=
= ![]()
Hence, the foci (0, c) and (0, c) are (0, 5
) and (0, 5
), the vertices (0, a) and (0, -a) are (0, 10) and (0, -10), length of the major axis 2a is 20 units, the length of the minor axis 2b is 10 units and the eccentricity of the ellipse is
The length of the latus rectum =
= 5 units.
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