# How do you find the standard form of #3x^2/12+ 5y^2/500 = 1# and what kind of a conic is it?

##### 1 Answer

Jan 4, 2016

An ellipse.

#### Explanation:

Simplify the fractions.

#x^2/4+y^2/100=1#

This fits the mold for an ellipse, which has the general form

#(y-k)^2/a^2+(x-h)^2/a^2=1#

However, the terms at first are switched since

Thus, the actual general form is

#y^2/100+x^2/4=1#

Here,

graph{y^2/100+x^2/4=1 [-22.81, 22.8, -11.4, 11.41]}