SOLUTION: Find the distance of the point (3,4) to the foci of the ellipse whose equation 4x^2 + 9y^2 = 36

Question 1082535: Find the distance of the point (3,4) to the foci of the ellipse whose equation 4x^2 + 9y^2 = 36
Answer by ikleyn(52855) (Show Source): You can put this solution on YOUR website!
.

The canonical equation of this ellipse is

 +  = 1.    (to get it, simply divide both sides of the original equation by 36.)

It says that the major semi-axis is 3 units long, while the minor semi-axis is 2 units long.


Then the linear eccentricity is  = .


Hence the foci are these points  (,)  and (,).


From this point calculate the distances on your own.

See the lesson
- Ellipse definition, canonical equation, characteristic points and elements
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic
"Conic sections: Ellipses. Definition, major elements and properties. Solved problems".

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