Q29 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


Since the denominator of y2 is larger than the denominator of x2, the major axis is along the y-axis. Comparing the given equation with the standard equation

= 1

we have b = 2 and a = 5

Also c = = =

And e = =

Hence, the foci, (0, c) and (0, c) are (0, ) and (0, -; the vertices, (0, a) and (0,-a) are(0, 5) and (0, -5); length of the major axis, 2a is 10 units, the length of the minor axis, 2b is 4 units and the eccentricity of the ellipse, e is The length of latus rectum = =

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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