Q32 of 62 Page 11

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 = 1

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

= 1

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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