125k views
1 vote
Identify the following equation as that of a line, a circle, an ellipse, a parabola, or a hyperbola.

4x2 +9y2 = 36

User Ooboo
by
7.5k points

1 Answer

4 votes

Answer:

Ellipse

Explanation:

Given the equation


4x^2 +9y^2 =36

Divide this equation by 36:


(4x^2)/(36)+(9y^2)/(36)=(36)/(36)\\ \\ \\(x^2)/(9)+(y^2)/(4)=1

The equation of the form


(x^2)/(a^2)+(y^2)/(b^2)=1

represents an ellipse, so given equation is the equation of the ellipse.

User Migloo
by
6.6k points