# What are the center and foci of the ellipse described by #x^2/9 + y^2/16 =1#?

##### 2 Answers

Center of the ellipse is

foci are

#### Explanation:

We have ,the eqn. of ellipse is :

If we take standard eqn. of ellipse with center

where,

Comparing the given eqn.

We get ,

So,the **center of the ellipse** is =

So, the foci of ellipse are :

For second method please see next answer.

Center of ellipse is =

#### Explanation:

We have ,

If we take , the standard eqn of ellipse with center at origin ,as

Center of ellipse is =

Foci of ellipse are :

Comparing the given eqn.

So ,the foci of ellipse are :