SOLUTION: an ellipse is defined by {{{y= (3/5) sqrt(25-x^2)}}}. What are the lengths of its major and minor axes?

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: an ellipse is defined by {{{y= (3/5) sqrt(25-x^2)}}}. What are the lengths of its major and minor axes?       Log On


   



Question 1016545: an ellipse is defined by y=+%283%2F5%29+sqrt%2825-x%5E2%29. What are the lengths of its major and minor axes?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
y%5E2=%289%2F25%29%2825-x%5E2%29

y%5E2=9-%289%2F25%29x%5E2

%289%2F25%29x%5E2%2By%5E2=9

%281%2F25%29x%5E2%2B%281%2F9%29y%5E2=1-----values easier to see this way.

Length of major axis, 5;
length of minor axis, 3.

Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.
Length of the major axis is 10.
Length of the major semi-axis is 5.

Length of the minor axis is 6.
Length of the minor semi-axis is 3.