Find the center, vertices, and foci of the ellipse with equation 4x^2 + 9y^2 =36

The center, vertices and foci of the ellipse with equation respectively

Solution:

The equation of ellipse with centre (0, 0) in the form of   --- eqn 1

Where,

x is the major axis  

Centre (0, 0)

Vertices is      

Foci is where

Now given that the equation of ellipse is

--- eqn 2

On dividing equation (2) by 36,

On comparing equations (1) and (2),  

We get a = 3, b= 2  

So centre of

Vertices of

Foci of

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

step-by-step explanation: