# How do you find the coordinates of the center, foci, the length of the major and minor axis given #y^2/10+x^2/5=1#?

##### 1 Answer

The center is

The length of the major axis is

The length of the minor axis is

The foci are at

#### Explanation:

Please observe the denominator of the y term (10) is greater than the denominator of the x term (5). The standard form for an ellipse of this type is:

The center of the ellipse is the point

The value of

The value of

The focal distance is,

The foci are located at

Put the given equation in this form:

The center is

The length of the major axis is

The length of the minor axis is

The foci are at