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Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.$$36 x^{2}+4 y^{2}=144$$
Precalculus
Chapter 11
Conic Sections
Section 3
Circle
Introduction to Conic Sections
Johns Hopkins University
Campbell University
Utica College
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in this problem. The equation of the ellipse just given to us as 36 XS Square. Yes for white square wants to 1 40 dividing the holy question by 1 44. This is Extra Square by four loss Y squared by 36. We'll do one since the denominator for X square is bigger than less than the denominator for y squared. The media access lies along the Y axis and the minor axis lies along the X axis for which the standard form is excess square by B squared. Yes. Why? Square by square equals two. What comparing these two? We get be us too & e. s. six. Let's find the coordinates of the focus. Just nothing but zero comma plus minus six. Where C. Is equals two. And the root of his square minus the square Which is 36 -4. Which is a little dog, Tito a little to Tito. There's nothing much or This is the thing with zero or route to and zero trauma minus food. Good next time. Let's look at the world. This is Which is nothing but zero color last minus E, which is 006 and zero comma minus six. The length of major access Along the way access is doing to any which is threaten. All right for minor access There's two and to be which is for look at the scent recipe which is C over A. R. 4-2 divided by six. This is nothing but to route to buy. Okay the length of the latest september's to be squared by any which is two into 4 bikes six Comes us four x 3, that's all.
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