SOLUTION: Find in standard form, the equation of an ellipse whose center is at (2,-1) whose major axis of length 10 is along the y-axis, and whose minor axis of length 8 is along the x-axis.

Question 629081: Find in standard form, the equation of an ellipse whose center is at (2,-1) whose major axis of length 10 is along the y-axis, and whose minor axis of length 8 is along the x-axis.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find in standard form, the equation of an ellipse whose center is at (2,-1) whose major axis of length 10 is along the y-axis, and whose minor axis of length 8 is along the x-axis.
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Given equation is that of an ellipse with a vertical major axis.
Its standard form: , a>b, (h,k)=(x,y) coordinates of center.
..
Given center: ((2,-1)
Given length of vertical major axis=10=2a
a=5
a^2=25
given length of minor axis=8=2b
b=4
b^2=16
Equation:

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