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.
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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
The given equation is
Here, denominator of x2 > denominator of y2
The foci of the ellipse are on the x-axis.
Comparing the given equation with the standard equation
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We have a = 7 and b = 6
Also c =
=
= ![]()
c =
= ![]()
Hence, the foci,(c, 0) and (-c, 0) and (
,0) and (-
,0); the vertices, (a, 0) and (-a, 0) are (7, 0) and (-7, 0); the length of the major axis, 2a is 14 units, the length of the minor axis, 2b is 12 units and eccentricity of the ellipse, e is
.
The length of latus rectum is
=
units.
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