Q30 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 ……(i)

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 = =

More from this chapter

All 62 →