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vannitling12p4w44f
28.04.2021 •
Mathematics
write the standard form equation of an ellipse with a center at (1,2) vertex at (7,2) and focus at (4,2)
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Ответ:
Answer option A
From the given graph is a Vertical ellipse
Center of ellipse = (-2,-3)
Vertices are (-2,3) and (-2,-9)
Co vertices are (-6,-3) and (2,-3)
The distance between center and vertices = 6, so a= 6
The distance between center and covertices = 4 , so b= 4
The general equation of vertical ellipse is
(h,k) is the center
we know center is (-2,-3)
h= -2, k = -3 , a= 6 and b = 4
The standard equation becomes
Foci are (h,k+c) and (h,k-c)
Plug in the a=6 and b=4
Foci are
and ![(-2,-3-2\sqrt{5})](/tpl/images/0036/1381/55703.png)
Option A is correct