Answer:
Ellipse
Step-by-step explanation:
Given the equation
[tex]4x^2 +9y^2 =36[/tex]
Divide this equation by 36:
[tex]\dfrac{4x^2}{36}+\dfrac{9y^2}{36}=\dfrac{36}{36}\\ \\ \\\dfrac{x^2}{9}+\dfrac{y^2}{4}=1[/tex]
The equation of the form
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]
represents an ellipse, so given equation is the equation of the ellipse.
