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Write an equation for an ellipse

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Write an equation for an ellipse with center (1,-3) vertices (1,2) andd (1,-8) and co-vertices (4,-3) and (-2,-3)?

asked Apr 13, 2013 in ALGEBRA 1 by anonymous Apprentice

1 Answer

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Standard form of ellipse with horizontal major axis: (x-h)2/a2+(y-k) 2/b2=1, (a>b), with (h, k) being the (x, y) coordinates of the centre.


Standard form of ellipse with vertical major axis: (x-h)2/b2+(y-k)2/a2=1, (a>b), with (h, k) being the (x, y) coordinates of the centre.


The difference between the two forms is the interchange of a2 and b2.


Given centre at (1, -3)
Since the x-coordinates of the end points of the vertices are the same at 1, given ellipse has a vertical major axis on x=1.


Length of major axis = 10 = 2a
a = 5.

a2=25


co-vertices or minor axis on y = -3
length of minor axis = 6 = 2b
b=3
b2=9

Equation: (x-1)2/9+(y+3)2/25 =1

 

source: http://www.algebra.com

answered Apr 13, 2013 by Naren Answers Apprentice
edited Apr 13, 2013 by Naren Answers

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