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.
So, the foci of the ellipse are on the x-axis. Let a2 = 16 and b2 = 9
We get a = 4 and b = 3
Also, c =
=
= ![]()
Therefore, the coordinates of the foci, (-c, 0) and (c, 0) are (-
,0) and (
,0); the vertices, (-a, 0) and (a, 0) are (-4, 0). Length of the major axis, 2a is 8 units. The length of the minors axis, 2b is 6 units and eccentricity, e =
is
. The length of latus rectum =
= ![]()
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